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136120608 = 25331312119
BaseRepresentation
bin10000001110100…
…00100100100000
3100111010122101000
420013100210200
5234321324413
621301312000
73242002041
oct1007204440
9314118330
10136120608
116a922478
1239705600
132227c650
14141148c8
15be3c073
hex81d0920

136120608 has 96 divisors (see below), whose sum is σ = 427593600. Its totient is φ = 41879808.

The previous prime is 136120603. The next prime is 136120609. The reversal of 136120608 is 806021631.

136120608 is a `hidden beast` number, since 1 + 36 + 1 + 20 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (136120603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5173 + ... + 17291.

It is an arithmetic number, because the mean of its divisors is an integer number (4454100).

Almost surely, 2136120608 is an apocalyptic number.

136120608 is a gapful number since it is divisible by the number (18) 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 136120608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213796800).

136120608 is an abundant number, since it is smaller than the sum of its proper divisors (291472992).

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

136120608 is a wasteful number, since it uses less digits than its factorization.

136120608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12151 (or 12137 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 136120608 is about 11667.0736690911. The cubic root of 136120608 is about 514.4082914170.

The spelling of 136120608 in words is "one hundred thirty-six million, one hundred twenty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 12119 24238 36357 48476 72714 96952 109071 145428 157547 193904 218142 290856 315094 327213 387808 436284 472641 581712 630188 654426 872568 945282 1163424 1260376 1308852 1417923 1745136 1890564 2520752 2617704 2835846 3490272 3781128 4253769 5041504 5235408 5671692 7562256 8507538 10470816 11343384 15124512 17015076 22686768 34030152 45373536 68060304 136120608