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137191013609 = 13151499140057
BaseRepresentation
bin111111111000100111…
…0001011110011101001
3111010010002002120211012
41333301032023303221
54221431344413414
6143005155313305
712624502242416
oct1776116136351
9433102076735
10137191013609
1153200829091
1222708bab835
13cc24939680
1468d654910d
15387e30e33e
hex1ff138bce9

137191013609 has 16 divisors (see below), whose sum is σ = 149021712000. Its totient is φ = 125546198400.

The previous prime is 137191013599. The next prime is 137191013651. The reversal of 137191013609 is 906310191731.

It is a cyclic number.

It is not a de Polignac number, because 137191013609 - 228 = 136922578153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137191013669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909509 + ... + 1049565.

It is an arithmetic number, because the mean of its divisors is an integer number (9313857000).

Almost surely, 2137191013609 is an apocalyptic number.

It is an amenable number.

137191013609 is a deficient number, since it is larger than the sum of its proper divisors (11830698391).

137191013609 is a wasteful number, since it uses less digits than its factorization.

137191013609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140720.

The product of its (nonzero) digits is 30618, while the sum is 41.

The spelling of 137191013609 in words is "one hundred thirty-seven billion, one hundred ninety-one million, thirteen thousand, six hundred nine".

Divisors: 1 13 151 499 1963 6487 75349 140057 979537 1820741 21148607 69888443 274931891 908549759 10553154893 137191013609