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137131835 = 5192276359
BaseRepresentation
bin10000010110001…
…11011100111011
3100120001000111212
420023013130323
5240101204320
621335113335
73253413161
oct1013073473
9316030455
10137131835
11704531a5
1239b1284b
13225449c9
14142d9231
15c08b9c5
hex82c773b

137131835 has 16 divisors (see below), whose sum is σ = 174009600. Its totient is φ = 103457376.

The previous prime is 137131801. The next prime is 137131837. The reversal of 137131835 is 538131731.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137131835 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137131837) 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, 18386 + ... + 24744.

It is an arithmetic number, because the mean of its divisors is an integer number (10875600).

Almost surely, 2137131835 is an apocalyptic number.

137131835 is a deficient number, since it is larger than the sum of its proper divisors (36877765).

137131835 is a wasteful number, since it uses less digits than its factorization.

137131835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610.

The product of its digits is 7560, while the sum is 32.

The square root of 137131835 is about 11710.3302686133. The cubic root of 137131835 is about 515.6789800114.

The spelling of 137131835 in words is "one hundred thirty-seven million, one hundred thirty-one thousand, eight hundred thirty-five".

Divisors: 1 5 19 95 227 1135 4313 6359 21565 31795 120821 604105 1443493 7217465 27426367 137131835