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137285725 = 5237193769
BaseRepresentation
bin10000010111011…
…01000001011101
3100120022211121111
420023231001131
5240121120400
621342302021
73254623633
oct1013550135
9316284544
10137285725
1170548885
1239b87911
1322599a75
1414339353
15c0bc3ba
hex82ed05d

137285725 has 24 divisors (see below), whose sum is σ = 175969640. Its totient is φ = 106168320.

The previous prime is 137285723. The next prime is 137285767. The reversal of 137285725 is 527582731.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 31236921 + 106048804 = 5589^2 + 10298^2 .

It is not a de Polignac number, because 137285725 - 21 = 137285723 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137285723) 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 23 ways as a sum of consecutive naturals, for example, 178141 + ... + 178909.

Almost surely, 2137285725 is an apocalyptic number.

It is an amenable number.

137285725 is a deficient number, since it is larger than the sum of its proper divisors (38683915).

137285725 is a wasteful number, since it uses less digits than its factorization.

137285725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1004 counting only the distinct ones).

The product of its digits is 117600, while the sum is 40.

The square root of 137285725 is about 11716.8991205011. The cubic root of 137285725 is about 515.8718070368.

The spelling of 137285725 in words is "one hundred thirty-seven million, two hundred eighty-five thousand, seven hundred twenty-five".

Divisors: 1 5 25 37 185 193 769 925 965 3845 4825 7141 19225 28453 35705 142265 148417 178525 711325 742085 3710425 5491429 27457145 137285725