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135 (number)

← 134 135 136 →
Cardinalone hundred thirty-five
Ordinal135th
(one hundred thirty-fifth)
Factorization33 × 5
Divisors1, 3, 5, 9, 15, 27, 45, 135
Greek numeralΡΛΕ´
Roman numeralCXXXV
Binary100001112
Ternary120003
Quaternary20134
Quinary10205
Senary3436
Octal2078
DuodecimalB312
Hexadecimal8716
Vigesimal6F20
Base 363R36

135 (one hundred [and] thirty-five) is the natural number following 134 and preceding 136.

In mathematics

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,

(1 and 144 share this property)[1] and the other is as the sum of consecutive powers of its digits:[2]

(175, 518, and 598 also have this property).

135 is a Harshad number,[3] and a repdigit in bases 18 and 26.

There are a total of 135 primes between 1,000 and 2,000.

for . This polynomial plays an essential role in Apéry's proof that is irrational.

In the military

In transportation

In other fields

See also

References

  1. ^ "Sloane's A038369 : Numbers n such that n = (product of digits of n) * (sum of digits of n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  2. ^ "Sloane's A032799: Numbers n such that n equals the sum of its digits raised to the consecutive powers (1,2,3,...)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2019-12-08.
  3. ^ "Sloane's A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.