Search a number
-
+
137162664 = 233217112061
BaseRepresentation
bin10000010110011…
…10111110101000
3100120002120210200
420023032332220
5240103201124
621335512200
73253602102
oct1013167650
9316076720
10137162664
1170474381
1239b28660
1322555a52
1414306572
15c095bc9
hex82cefa8

137162664 has 48 divisors (see below), whose sum is σ = 393337620. Its totient is φ = 43031040.

The previous prime is 137162603. The next prime is 137162687. The reversal of 137162664 is 466261731.

It is a happy number.

137162664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 117288900 + 19873764 = 10830^2 + 4458^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54807 + ... + 57254.

Almost surely, 2137162664 is an apocalyptic number.

It is an amenable number.

137162664 is an abundant number, since it is smaller than the sum of its proper divisors (256174956).

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

137162664 is a wasteful number, since it uses less digits than its factorization.

137162664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112090 (or 112083 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 137162664 is about 11711.6465110590. The cubic root of 137162664 is about 515.7176208713.

The spelling of 137162664 in words is "one hundred thirty-seven million, one hundred sixty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 112061 224122 336183 448244 672366 896488 1008549 1344732 1905037 2017098 2689464 3810074 4034196 5715111 7620148 8068392 11430222 15240296 17145333 22860444 34290666 45720888 68581332 137162664