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136137087936 = 263378783037
BaseRepresentation
bin111111011001001100…
…1110001101111000000
3111000101121221121121000
41332302121301233000
54212302043303221
6142312430132000
712556414104003
oct1766231615700
9430347847530
10136137087936
115280a923133
1222474051000
13cab749b305
1468365a153a
15381ba29e26
hex1fb2671bc0

136137087936 has 56 divisors (see below), whose sum is σ = 400217833040. Its totient is φ = 45379028736.

The previous prime is 136137087907. The next prime is 136137087937. The reversal of 136137087936 is 639780731631.

136137087936 is a `hidden beast` number, since 13 + 613 + 7 + 0 + 8 + 7 + 9 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136137087937) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39389791 + ... + 39393246.

Almost surely, 2136137087936 is an apocalyptic number.

136137087936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

136137087936 is an abundant number, since it is smaller than the sum of its proper divisors (264080745104).

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

136137087936 is an equidigital number, since it uses as much as digits as its factorization.

136137087936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78783058 (or 78783042 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 136137087936 in words is "one hundred thirty-six billion, one hundred thirty-seven million, eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 78783037 157566074 236349111 315132148 472698222 630264296 709047333 945396444 1260528592 1418094666 1890792888 2127141999 2521057184 2836189332 3781585776 4254283998 5042114368 5672378664 7563171552 8508567996 11344757328 15126343104 17017135992 22689514656 34034271984 45379029312 68068543968 136137087936