# 154 (number)

 ← 153 154 155 →
Cardinal one hundred fifty-four
Ordinal 154th
(one hundred and fifty-fourth)
Factorization 2 × 7 × 11
Divisors 1, 2, 7, 11, 14, 22, 77, 154
Roman numeral CLIV
Binary 100110102
Ternary 122013
Quaternary 21224
Quinary 11045
Senary 4146
Octal 2328
Duodecimal 10A12
Vigesimal 7E20
Base 36 4A36

154 (one hundred [and] fifty-four) is the natural number following 153 and preceding 155.

## In mathematics

154 is a nonagonal number. Its factorization makes 154 a sphenic number

There is no integer with exactly 154 coprimes below it, making 154 a noncototient, nor is there, in base 10, any integer that added up to its own digits yields 154, making 154 a self number

154 is the sum of the first six factorials, if one starts with $0!$ and assumes that $0!=1$.

With just 17 cuts, a pancake can be cut up into 154 pieces (Lazy caterer's sequence).

The distinct prime factors of 154 add up to 20, and so do the ones of 153, hence the two form a Ruth-Aaron pair. 154! + 1 is a factorial prime.

## In music

• 154 is an album by Wire, named for the number of live gigs Wire had performed at that time[1]

154 is also: