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137059857 = 3411199773
BaseRepresentation
bin10000010101101…
…01111000010001
3100112220100210000
420022311320101
5240041403412
621333400213
73252663264
oct1012657021
9315810700
10137059857
1170404110
1239a99069
132251b00c
14142bacdb
15c0754dc
hex82b5e11

137059857 has 40 divisors (see below), whose sum is σ = 224769600. Its totient is φ = 82542240.

The previous prime is 137059837. The next prime is 137059861. The reversal of 137059857 is 758950731.

137059857 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 598 + 57 = 666.

It is not a de Polignac number, because 137059857 - 219 = 136535569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137059807) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 176923 + ... + 177695.

It is an arithmetic number, because the mean of its divisors is an integer number (5619240).

Almost surely, 2137059857 is an apocalyptic number.

It is an amenable number.

137059857 is a deficient number, since it is larger than the sum of its proper divisors (87709743).

137059857 is a wasteful number, since it uses less digits than its factorization.

137059857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The square root of 137059857 is about 11707.2565958042. The cubic root of 137059857 is about 515.5887407230.

The spelling of 137059857 in words is "one hundred thirty-seven million, fifty-nine thousand, eight hundred fifty-seven".

Divisors: 1 3 9 11 27 33 81 99 199 297 597 773 891 1791 2189 2319 5373 6567 6957 8503 16119 19701 20871 25509 59103 62613 76527 153827 177309 229581 461481 688743 1384443 1692097 4153329 5076291 12459987 15228873 45686619 137059857