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137153652 = 22311429471
BaseRepresentation
bin10000010110011…
…00110001110100
3100120002010102220
420023030301310
5240102404102
621335402340
73253533606
oct1013146164
9316063386
10137153652
1170468629
1239b233b0
132255190c
1414303176
15c0931bc
hex82ccc74

137153652 has 12 divisors (see below), whose sum is σ = 320025216. Its totient is φ = 45717880.

The previous prime is 137153633. The next prime is 137153659. The reversal of 137153652 is 256351731.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×1371536522 = 37622248513874208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137153659) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5714724 + ... + 5714747.

It is an arithmetic number, because the mean of its divisors is an integer number (26668768).

Almost surely, 2137153652 is an apocalyptic number.

137153652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137153652 is an abundant number, since it is smaller than the sum of its proper divisors (182871564).

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

137153652 is a wasteful number, since it uses less digits than its factorization.

137153652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11429478 (or 11429476 counting only the distinct ones).

The product of its digits is 18900, while the sum is 33.

The square root of 137153652 is about 11711.2617595202. The cubic root of 137153652 is about 515.7063258905.

The spelling of 137153652 in words is "one hundred thirty-seven million, one hundred fifty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 11429471 22858942 34288413 45717884 68576826 137153652