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136914972 = 223311931907
BaseRepresentation
bin10000010100100…
…10100000011100
3100112122000000220
420022102200130
5240022234342
621330321340
73251521005
oct1012224034
9315560026
10136914972
1170315277
1239a29250
132249a09c
14142801ac
15c0475ec
hex829281c

136914972 has 48 divisors (see below), whose sum is σ = 331656192. Its totient is φ = 43914240.

The previous prime is 136914971. The next prime is 136914977. The reversal of 136914972 is 279419631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136914971) 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, 70843 + ... + 72749.

It is an arithmetic number, because the mean of its divisors is an integer number (6909504).

Almost surely, 2136914972 is an apocalyptic number.

136914972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

136914972 is an abundant number, since it is smaller than the sum of its proper divisors (194741220).

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

136914972 is a wasteful number, since it uses less digits than its factorization.

136914972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2136 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 136914972 is about 11701.0671308219. The cubic root of 136914972 is about 515.4070016060.

The spelling of 136914972 in words is "one hundred thirty-six million, nine hundred fourteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 193 372 386 579 772 1158 1907 2316 3814 5721 5983 7628 11442 11966 17949 22884 23932 35898 59117 71796 118234 177351 236468 354702 368051 709404 736102 1104153 1472204 2208306 4416612 11409581 22819162 34228743 45638324 68457486 136914972