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137011147 = 71319109727
BaseRepresentation
bin10000010101010…
…01111111001011
3100112210212221221
420022221333023
5240033324042
621332342511
73252401260
oct1012517713
9315725857
10137011147
1170380559
1239a74a37
1322501ab0
14142a7267
15c065d67
hex82a9fcb

137011147 has 32 divisors (see below), whose sum is σ = 179379200. Its totient is φ = 101616768.

The previous prime is 137011141. The next prime is 137011163. The reversal of 137011147 is 741110731.

It is a cyclic number.

It is not a de Polignac number, because 137011147 - 27 = 137011019 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137011141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188098 + ... + 188824.

It is an arithmetic number, because the mean of its divisors is an integer number (5605600).

Almost surely, 2137011147 is an apocalyptic number.

137011147 is a deficient number, since it is larger than the sum of its proper divisors (42368053).

137011147 is a wasteful number, since it uses less digits than its factorization.

137011147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875.

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 137011147 is about 11705.1760772745. The cubic root of 137011147 is about 515.5276547521.

Adding to 137011147 its reverse (741110731), we get a palindrome (878121878).

The spelling of 137011147 in words is "one hundred thirty-seven million, eleven thousand, one hundred forty-seven".

Divisors: 1 7 13 19 91 109 133 247 727 763 1417 1729 2071 5089 9451 9919 13813 14497 26923 66157 79243 96691 179569 188461 554701 1030159 1256983 1505617 7211113 10539319 19573021 137011147