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137131374 = 23109307683
BaseRepresentation
bin10000010110001…
…11010101101110
3100120000222212210
420023013111232
5240101200444
621335111250
73253411632
oct1013072556
9316028783
10137131374
1170452916
1239b12526
1322544733
14142d8dc2
15c08b7b9
hex82c756e

137131374 has 32 divisors (see below), whose sum is σ = 278087040. Its totient is φ = 45077472.

The previous prime is 137131373. The next prime is 137131409. The reversal of 137131374 is 473131731.

137131374 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137131373) 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, 200437 + ... + 201119.

It is an arithmetic number, because the mean of its divisors is an integer number (8690220).

Almost surely, 2137131374 is an apocalyptic number.

137131374 is an abundant number, since it is smaller than the sum of its proper divisors (140955666).

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

137131374 is a wasteful number, since it uses less digits than its factorization.

137131374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104.

The product of its digits is 5292, while the sum is 30.

The square root of 137131374 is about 11710.3105851211. The cubic root of 137131374 is about 515.6784021532.

The spelling of 137131374 in words is "one hundred thirty-seven million, one hundred thirty-one thousand, three hundred seventy-four".

Divisors: 1 2 3 6 109 218 307 327 614 654 683 921 1366 1842 2049 4098 33463 66926 74447 100389 148894 200778 209681 223341 419362 446682 629043 1258086 22855229 45710458 68565687 137131374