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137075252 = 22124927437
BaseRepresentation
bin10000010101110…
…01101000110100
3100112221010220012
420022321220310
5240042402002
621333555352
73253056206
oct1012715064
9315833805
10137075252
1170414736
1239aa5b58
1322525022
14142c2776
15c079d52
hex82b9a34

137075252 has 12 divisors (see below), whose sum is σ = 240082500. Its totient is φ = 68480256.

The previous prime is 137075251. The next prime is 137075261. The reversal of 137075252 is 252570731.

137075252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 64416676 + 72658576 = 8026^2 + 8524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137075251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8723 + ... + 18714.

It is an arithmetic number, because the mean of its divisors is an integer number (20006875).

Almost surely, 2137075252 is an apocalyptic number.

It is an amenable number.

137075252 is a deficient number, since it is larger than the sum of its proper divisors (103007248).

137075252 is a wasteful number, since it uses less digits than its factorization.

137075252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28690 (or 28688 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 137075252 is about 11707.9140755303. The cubic root of 137075252 is about 515.6080441905.

The spelling of 137075252 in words is "one hundred thirty-seven million, seventy-five thousand, two hundred fifty-two".

Divisors: 1 2 4 1249 2498 4996 27437 54874 109748 34268813 68537626 137075252