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136427008 = 29416797
BaseRepresentation
bin10000010000110…
…11011000000000
3100111201012200011
420020123120000
5234411131013
621312034304
73244416244
oct1010333000
9314635604
10136427008
11700116a3
1239832994
1322358c53
1414194424
15be9cc3d
hex821b600

136427008 has 80 divisors (see below), whose sum is σ = 286325424. Its totient is φ = 64880640.

The previous prime is 136426963. The next prime is 136427059. The reversal of 136427008 is 800724631.

It is a super-2 number, since 2×1364270082 = 37224657023664128, which contains 22 as substring.

It is a congruent number.

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, 1406416 + ... + 1406512.

Almost surely, 2136427008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136427008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143162712).

136427008 is an abundant number, since it is smaller than the sum of its proper divisors (149898416).

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

136427008 is an frugal number, since it uses more digits than its factorization.

136427008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 136427008 is about 11680.1972586083. The cubic root of 136427008 is about 514.7939704355.

The spelling of 136427008 in words is "one hundred thirty-six million, four hundred twenty-seven thousand, eight".

Divisors: 1 2 4 8 16 32 41 64 67 82 97 128 134 164 194 256 268 328 388 512 536 656 776 1072 1312 1552 2144 2624 2747 3104 3977 4288 5248 5494 6208 6499 7954 8576 10496 10988 12416 12998 15908 17152 20992 21976 24832 25996 31816 34304 43952 49664 51992 63632 87904 103984 127264 175808 207968 254528 266459 351616 415936 509056 532918 703232 831872 1018112 1065836 1406464 1663744 2036224 2131672 3327488 4263344 8526688 17053376 34106752 68213504 136427008