Search a number
-
+
137976564 = 223111045277
BaseRepresentation
bin10000011100101…
…01101011110100
3100121121221021010
420032111223310
5240310222224
621405152220
73263532015
oct1016255364
9317557233
10137976564
117097a920
123a25b670
132277c34b
141447900c
15c1a6e29
hex8395af4

137976564 has 24 divisors (see below), whose sum is σ = 351213408. Its totient is φ = 41811040.

The previous prime is 137976557. The next prime is 137976599. The reversal of 137976564 is 465679731.

It is a happy number.

137976564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 522507 + ... + 522770.

It is an arithmetic number, because the mean of its divisors is an integer number (14633892).

Almost surely, 2137976564 is an apocalyptic number.

It is an amenable number.

137976564 is an abundant number, since it is smaller than the sum of its proper divisors (213236844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137976564 is a wasteful number, since it uses less digits than its factorization.

137976564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045295 (or 1045293 counting only the distinct ones).

The product of its digits is 952560, while the sum is 48.

The square root of 137976564 is about 11746.3425797139. The cubic root of 137976564 is about 516.7356701918.

The spelling of 137976564 in words is "one hundred thirty-seven million, nine hundred seventy-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1045277 2090554 3135831 4181108 6271662 11498047 12543324 22996094 34494141 45992188 68988282 137976564