Search a number
-
+
137274027 = 31141711429
BaseRepresentation
bin10000010111010…
…10001010101011
3100120022020120020
420023222022223
5240120232102
621342131523
73254544552
oct1013521253
9316266506
10137274027
1170540010
1239b80ba3
1322594647
1414334d99
15c0b8bbc
hex82ea2ab

137274027 has 32 divisors (see below), whose sum is σ = 207567360. Its totient is φ = 79968000.

The previous prime is 137274001. The next prime is 137274073. The reversal of 137274027 is 720472731.

It is not a de Polignac number, because 137274027 - 220 = 136225451 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (137274227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95349 + ... + 96777.

It is an arithmetic number, because the mean of its divisors is an integer number (6486480).

Almost surely, 2137274027 is an apocalyptic number.

137274027 is a deficient number, since it is larger than the sum of its proper divisors (70293333).

137274027 is a wasteful number, since it uses less digits than its factorization.

137274027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555.

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 137274027 is about 11716.3999163566. The cubic root of 137274027 is about 515.8571542878.

The spelling of 137274027 in words is "one hundred thirty-seven million, two hundred seventy-four thousand, twenty-seven".

Divisors: 1 3 11 33 41 71 123 213 451 781 1353 1429 2343 2911 4287 8733 15719 32021 47157 58589 96063 101459 175767 304377 644479 1116049 1933437 3348147 4159819 12479457 45758009 137274027