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136150656 = 2731918661
BaseRepresentation
bin10000001110101…
…11111010000000
3100111012011120220
420013113322000
5234323310111
621302103040
73242155455
oct1007277200
9314164526
10136150656
116a943004
123971aa80
1322290225
141412182c
15be45e06
hex81d7e80

136150656 has 64 divisors (see below), whose sum is σ = 380704800. Its totient is φ = 42992640.

The previous prime is 136150631. The next prime is 136150657. The reversal of 136150656 is 656051631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1361506562 = 37074002258460672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136150657) 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, 2035 + ... + 16626.

Almost surely, 2136150656 is an apocalyptic number.

136150656 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 136150656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190352400).

136150656 is an abundant number, since it is smaller than the sum of its proper divisors (244554144).

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

136150656 is a wasteful number, since it uses less digits than its factorization.

136150656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18697 (or 18685 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 136150656 is about 11668.3613245391. The cubic root of 136150656 is about 514.4461397227.

The spelling of 136150656 in words is "one hundred thirty-six million, one hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 18661 37322 55983 74644 111966 149288 223932 298576 354559 447864 597152 709118 895728 1063677 1194304 1418236 1791456 2127354 2388608 2836472 3582912 4254708 5672944 7165824 8509416 11345888 17018832 22691776 34037664 45383552 68075328 136150656