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137560668 = 22371796331
BaseRepresentation
bin10000011001100…
…00001001011100
3100120211210202120
420030300021130
5240203420133
621352222540
73260150340
oct1014601134
9316753676
10137560668
1170716403
123a09aa50
1322664c5b
14143ab620
15c123ab3
hex833025c

137560668 has 48 divisors (see below), whose sum is σ = 388410624. Its totient is φ = 36990720.

The previous prime is 137560639. The next prime is 137560669. The reversal of 137560668 is 866065731.

137560668 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137560669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46738 + ... + 49593.

It is an arithmetic number, because the mean of its divisors is an integer number (8091888).

Almost surely, 2137560668 is an apocalyptic number.

It is an amenable number.

137560668 is an abundant number, since it is smaller than the sum of its proper divisors (250849956).

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

137560668 is a wasteful number, since it uses less digits than its factorization.

137560668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96362 (or 96360 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 137560668 is about 11728.6260064852. The cubic root of 137560668 is about 516.2159573180.

The spelling of 137560668 in words is "one hundred thirty-seven million, five hundred sixty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 96331 192662 288993 385324 577986 674317 1155972 1348634 1637627 2022951 2697268 3275254 4045902 4912881 6550508 8091804 9825762 11463389 19651524 22926778 34390167 45853556 68780334 137560668