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137583061 = 71110716699
BaseRepresentation
bin10000011001101…
…01100111010101
3100120212221110221
420030311213111
5240210124221
621352514341
73260302540
oct1014654725
9316787427
10137583061
1170731210
123a0ab9b1
13226721c5
14143b5857
15c12a541
hex83359d5

137583061 has 16 divisors (see below), whose sum is σ = 173145600. Its totient is φ = 106199280.

The previous prime is 137583059. The next prime is 137583073. The reversal of 137583061 is 160385731.

137583061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137583061 - 21 = 137583059 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137583011) 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, 111 + ... + 16588.

It is an arithmetic number, because the mean of its divisors is an integer number (10821600).

Almost surely, 2137583061 is an apocalyptic number.

137583061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

137583061 is a deficient number, since it is larger than the sum of its proper divisors (35562539).

137583061 is a wasteful number, since it uses less digits than its factorization.

137583061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16824.

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 137583061 is about 11729.5805977878. The cubic root of 137583061 is about 516.2439667699.

The spelling of 137583061 in words is "one hundred thirty-seven million, five hundred eighty-three thousand, sixty-one".

Divisors: 1 7 11 77 107 749 1177 8239 16699 116893 183689 1285823 1786793 12507551 19654723 137583061