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137374056 = 2334211997
BaseRepresentation
bin10000011000000…
…10100101101000
3100120111022210000
420030002211220
5240131432211
621344223000
73255442311
oct1014024550
9316438700
10137374056
11705a9186
123a00aa60
13225cb031
141435d608
15c0d8656
hex8302968

137374056 has 40 divisors (see below), whose sum is σ = 384776370. Its totient is φ = 45791136.

The previous prime is 137374049. The next prime is 137374063. The reversal of 137374056 is 650473731.

It is an interprime number because it is at equal distance from previous prime (137374049) and next prime (137374063).

It can be written as a sum of positive squares in only one way, i.e., 131469156 + 5904900 = 11466^2 + 2430^2 .

It is a super-2 number, since 2×1373740562 = 37743262523782272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 137374056.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 105351 + ... + 106646.

Almost surely, 2137374056 is an apocalyptic number.

It is an amenable number.

137374056 is an abundant number, since it is smaller than the sum of its proper divisors (247402314).

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

137374056 is a wasteful number, since it uses less digits than its factorization.

137374056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212015 (or 212002 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 137374056 is about 11720.6678990576. The cubic root of 137374056 is about 515.9824223325.

The spelling of 137374056 in words is "one hundred thirty-seven million, three hundred seventy-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 211997 423994 635991 847988 1271982 1695976 1907973 2543964 3815946 5087928 5723919 7631892 11447838 15263784 17171757 22895676 34343514 45791352 68687028 137374056