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137125665 = 3253047237
BaseRepresentation
bin10000010110001…
…01111100100001
3100120000201001100
420023011330201
5240101010130
621335025013
73253356165
oct1013057441
9316021040
10137125665
11704495a6
1239b0b169
1322541c61
14142d6ca5
15c089c60
hex82c5f21

137125665 has 12 divisors (see below), whose sum is σ = 237684564. Its totient is φ = 73133664.

The previous prime is 137125643. The next prime is 137125693. The reversal of 137125665 is 566521731.

It can be written as a sum of positive squares in 2 ways, for example, as 85155984 + 51969681 = 9228^2 + 7209^2 .

It is not a de Polignac number, because 137125665 - 210 = 137124641 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1523574 + ... + 1523663.

It is an arithmetic number, because the mean of its divisors is an integer number (19807047).

Almost surely, 2137125665 is an apocalyptic number.

137125665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137125665 is a deficient number, since it is larger than the sum of its proper divisors (100558899).

137125665 is a wasteful number, since it uses less digits than its factorization.

137125665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047248 (or 3047245 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 137125665 is about 11710.0668230373. The cubic root of 137125665 is about 515.6712458797.

The spelling of 137125665 in words is "one hundred thirty-seven million, one hundred twenty-five thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 45 3047237 9141711 15236185 27425133 45708555 137125665