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138736825 = 5241135353
BaseRepresentation
bin10000100010011…
…11010010111001
3100200001120010221
420101033102321
5241004034300
621433340041
73303146353
oct1021172271
9320046127
10138736825
117134a037
123a567621
13229873c6
14145d60d3
15c2a731a
hex844f4b9

138736825 has 12 divisors (see below), whose sum is σ = 176230908. Its totient is φ = 108281600.

The previous prime is 138736823. The next prime is 138736853. The reversal of 138736825 is 528637831.

It can be written as a sum of positive squares in 6 ways, for example, as 14258176 + 124478649 = 3776^2 + 11157^2 .

It is not a de Polignac number, because 138736825 - 21 = 138736823 is a prime.

It is a super-2 number, since 2×1387368252 = 38495813222161250, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138736823) 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 11 ways as a sum of consecutive naturals, for example, 66652 + ... + 68701.

It is an arithmetic number, because the mean of its divisors is an integer number (14685909).

Almost surely, 2138736825 is an apocalyptic number.

It is an amenable number.

138736825 is a deficient number, since it is larger than the sum of its proper divisors (37494083).

138736825 is a wasteful number, since it uses less digits than its factorization.

138736825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135404 (or 135399 counting only the distinct ones).

The product of its digits is 241920, while the sum is 43.

The square root of 138736825 is about 11778.6597285090. The cubic root of 138736825 is about 517.6830161644.

The spelling of 138736825 in words is "one hundred thirty-eight million, seven hundred thirty-six thousand, eight hundred twenty-five".

Divisors: 1 5 25 41 205 1025 135353 676765 3383825 5549473 27747365 138736825