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137063652 = 2231110192
BaseRepresentation
bin10000010101101…
…10110011100100
3100112220112222120
420022312303210
5240042014102
621333425540
73253010325
oct1012666344
9315815876
10137063652
1170406a50
1239a9b2b0
132251c96b
14142bc44c
15c0766bc
hex82b6ce4

137063652 has 36 divisors (see below), whose sum is σ = 349232016. Its totient is φ = 41493680.

The previous prime is 137063623. The next prime is 137063653. The reversal of 137063652 is 256360731.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (137063653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133999 + ... + 135017.

Almost surely, 2137063652 is an apocalyptic number.

137063652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137063652 is an abundant number, since it is smaller than the sum of its proper divisors (212168364).

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

137063652 is a wasteful number, since it uses less digits than its factorization.

137063652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 137063652 is about 11707.4186736445. The cubic root of 137063652 is about 515.5934993281.

Multiplying 137063652 by its sum of digits (33), we get a square (4523100516 = 672542).

137063652 divided by its sum of digits (33) gives a square (4153444 = 20382).

The spelling of 137063652 in words is "one hundred thirty-seven million, sixty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1019 2038 3057 4076 6114 11209 12228 22418 33627 44836 67254 134508 1038361 2076722 3115083 4153444 6230166 11421971 12460332 22843942 34265913 45687884 68531826 137063652