ⓘ 135 (number)

                                     

ⓘ 135 (number)

This number in base 10 can be expressed in operations using its own digits in at least two different ways. One is as a sum-product number,

135 = 1 + 3 + 5 1 × 3 × 5 {\displaystyle 135=1+3+51\times 3\times 5}

1 and 144 share this property and the other is as the sum of consecutive powers of its digits:

135 = 1 + 3 2 + 5 3 {\displaystyle 135=1^{1}+3^{2}+5^{3}}

175, 518, and 598 also have this property.

135 is a Harshad number.

There are a total of 135 primes between 1.000 and 2.000.

135 = 11 n 2 + 11 n + 3 {\displaystyle 135=11n^{2}+11n+3} for n = 3 {\displaystyle n=3}. This polynomial plays an essential role in Aperys proof that ζ 3 {\displaystyle \zeta 3} is irrational.

                                     

1. In the military

  • USS Bosque APA-135 was a United States Navy Haskell -class attack transport during World War II
  • USS S-30 SS-135 was an S-class submarine of the United States Navy during World War II
  • Electronic Attack Squadron 135 VAQ-135 is a United States Navy electronic attack squadron stationed at Naval Air Station Whidbey Island, in Oak Harbor, Washington
  • USS Merganser AM-135 was a United States Navy Hawk -class minesweeper during World War II
  • USS Flaherty DE-135 was a United States Navy Edsall -class destroyer escort during World War II
  • USS Weiss APD-135 was a United States Navy Crosley -class high-speed transport ship during the Battle of Guadalcanal
  • USS General W. M. Black AP-135 was a United States Navy General G. O. Squier -class transport ship during World War II
  • OC-135B Open Skies United States Air Force observation aircraft supports the flies unarmed observation flights over nations of the Treaty on Open Skies
  • KC-135 Stratotanker is a United States Air Force United States aerial refueling tanker aircraft in service since 1957
  • USNS Mission Solano AO-135 was a Mission Buenaventura -class fleet oiler during World War II
  • United States Air Force C-135 derived from the Boeing 707 jetliner
  • USS Los Angeles CA-135 was a Baltimore -class cruiser during World War II
  • USS Venus AK-135 was a United States Navy Crater -class cargo ship during World War II
  • USS Tillman DD-135 was a United States Navy Wickes -class destroyer
                                     

2. In transportation

  • 135th Street station on the IRT Lenox Avenue Line of the New York City Subway on Lenox Avenue in Manhattan
  • London Buses route 135 is a Transport for London contracted bus route in London
  • 135th Street station on the IND Eighth Avenue Line of the New York City Subway on St. Nicholas Avenue in Manhattan
                                     

3. In other fields

  • 135 AH is a year in the Islamic calendar that corresponds to 752–753 CE
  • Municipal District of Peace No. 135, a municipal district in northwest Alberta, Canada
  • 135 film, the cartridge version of 35mm photographic film, used widely in still photography
  • The year AD 135 or 135 BC
  • Sonnet 135 by William Shakespeare
  • The EZ 135 Drive removable hard disk drive introduced by SyQuest Technology in 1995
  • In astrology, when two planets are 135 degrees apart, they are in an astrological aspect called a sesquiquadrate. The aspect was first used by Johannes Kepler
  • The Canon FD 135 mm lens
  • 135 Hertha is a large main belt asteroid which orbits among the Nysa asteroid family
  • Enoch Cree Nation 135 Indian reserve in Alberta, Canada is home to the Enoch Cree Nation