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137910976 = 267437159
BaseRepresentation
bin10000011100001…
…01101011000000
3100121111121021221
420032011223000
5240301122401
621403524424
73263136550
oct1016055300
9317447257
10137910976
1170935615
123a229714
1322758538
141445d160
15c1927a1
hex8385ac0

137910976 has 56 divisors (see below), whose sum is σ = 320080640. Its totient is φ = 57722112.

The previous prime is 137910961. The next prime is 137910989. The reversal of 137910976 is 679019731.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15685 + ... + 22843.

Almost surely, 2137910976 is an apocalyptic number.

137910976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137910976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160040320).

137910976 is an abundant number, since it is smaller than the sum of its proper divisors (182169664).

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

137910976 is an equidigital number, since it uses as much as digits as its factorization.

137910976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7221 (or 7211 counting only the distinct ones).

The product of its (nonzero) digits is 71442, while the sum is 43.

The square root of 137910976 is about 11743.5504001132. The cubic root of 137910976 is about 516.6537793988.

The spelling of 137910976 in words is "one hundred thirty-seven million, nine hundred ten thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 301 344 448 602 688 1204 1376 2408 2752 4816 7159 9632 14318 19264 28636 50113 57272 100226 114544 200452 229088 307837 400904 458176 615674 801808 1231348 1603616 2154859 2462696 3207232 4309718 4925392 8619436 9850784 17238872 19701568 34477744 68955488 137910976