Search a number
-
+
137364656 = 24111360037
BaseRepresentation
bin10000011000000…
…00010010110000
3100120110211212212
420030000102300
5240131132111
621344111252
73255403022
oct1014002260
9316424785
10137364656
11705a2110
123a005528
13225c6980
141435a012
15c0d598b
hex83004b0

137364656 has 40 divisors (see below), whose sum is σ = 312677904. Its totient is φ = 57634560.

The previous prime is 137364653. The next prime is 137364679. The reversal of 137364656 is 656463731.

It is not an unprimeable number, because it can be changed into a prime (137364653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27731 + ... + 32306.

Almost surely, 2137364656 is an apocalyptic number.

137364656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137364656 is an abundant number, since it is smaller than the sum of its proper divisors (175313248).

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

137364656 is a wasteful number, since it uses less digits than its factorization.

137364656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60069 (or 60063 counting only the distinct ones).

The product of its digits is 272160, while the sum is 41.

The square root of 137364656 is about 11720.2668911591. The cubic root of 137364656 is about 515.9706531394.

The spelling of 137364656 in words is "one hundred thirty-seven million, three hundred sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 60037 120074 240148 480296 660407 780481 960592 1320814 1560962 2641628 3121924 5283256 6243848 8585291 10566512 12487696 17170582 34341164 68682328 137364656