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137881856 = 28776943
BaseRepresentation
bin10000011011111…
…10100100000000
3100121110010100102
420031332210000
5240244204411
621403141532
73262655630
oct1015764400
9317403312
10137881856
1170915752
123a2148a8
13227481c8
14144526c0
15c188d3b
hex837e900

137881856 has 36 divisors (see below), whose sum is σ = 314547072. Its totient is φ = 59091456.

The previous prime is 137881853. The next prime is 137881949. The reversal of 137881856 is 658188731.

It is a happy number.

It is a super-2 number, since 2×1378818562 = 38022812428009472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137881856.

It is not an unprimeable number, because it can be changed into a prime (137881853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36680 + ... + 40263.

Almost surely, 2137881856 is an apocalyptic number.

137881856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137881856 is an abundant number, since it is smaller than the sum of its proper divisors (176665216).

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

137881856 is an frugal number, since it uses more digits than its factorization.

137881856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76966 (or 76952 counting only the distinct ones).

The product of its digits is 322560, while the sum is 47.

The square root of 137881856 is about 11742.3105051774. The cubic root of 137881856 is about 516.6174129022.

The spelling of 137881856 in words is "one hundred thirty-seven million, eight hundred eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 76943 153886 307772 538601 615544 1077202 1231088 2154404 2462176 4308808 4924352 8617616 9848704 17235232 19697408 34470464 68940928 137881856