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137989527 = 31317208129
BaseRepresentation
bin10000011100110…
…00110110010111
3100121122121001020
420032120312113
5240311131102
621405332223
73263614554
oct1016306627
9317577036
10137989527
1170989635
123a267073
1322785210
141447da2b
15c1aabbc
hex8398d97

137989527 has 16 divisors (see below), whose sum is σ = 209795040. Its totient is φ = 79921152.

The previous prime is 137989519. The next prime is 137989541. The reversal of 137989527 is 725989731.

137989527 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137989527 - 23 = 137989519 is a prime.

It is a super-2 number, since 2×1379895272 = 38082219123367458, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 137989527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137989507) 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, 103402 + ... + 104727.

It is an arithmetic number, because the mean of its divisors is an integer number (13112190).

Almost surely, 2137989527 is an apocalyptic number.

137989527 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

137989527 is a deficient number, since it is larger than the sum of its proper divisors (71805513).

137989527 is a wasteful number, since it uses less digits than its factorization.

137989527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208162.

The product of its digits is 952560, while the sum is 51.

The square root of 137989527 is about 11746.8943555307. The cubic root of 137989527 is about 516.7518522509.

The spelling of 137989527 in words is "one hundred thirty-seven million, nine hundred eighty-nine thousand, five hundred twenty-seven".

Divisors: 1 3 13 17 39 51 221 663 208129 624387 2705677 3538193 8117031 10614579 45996509 137989527