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137114952 = 23313439471
BaseRepresentation
bin10000010110000…
…11010101001000
3100120000011100120
420023003111020
5240100134302
621334503240
73253313022
oct1013032510
9316004316
10137114952
1170441547
1239b04b20
132253a110
14142d3012
15c0869bc
hex82c3548

137114952 has 32 divisors (see below), whose sum is σ = 369156480. Its totient is φ = 42189120.

The previous prime is 137114941. The next prime is 137114969. The reversal of 137114952 is 259411731.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219424 + ... + 220047.

It is an arithmetic number, because the mean of its divisors is an integer number (11536140).

Almost surely, 2137114952 is an apocalyptic number.

137114952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137114952 is an abundant number, since it is smaller than the sum of its proper divisors (232041528).

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

137114952 is a wasteful number, since it uses less digits than its factorization.

137114952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439493 (or 439489 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 137114952 is about 11709.6093871657. The cubic root of 137114952 is about 515.6578165193.

The spelling of 137114952 in words is "one hundred thirty-seven million, one hundred fourteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 439471 878942 1318413 1757884 2636826 3515768 5273652 5713123 10547304 11426246 17139369 22852492 34278738 45704984 68557476 137114952