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137252157 = 3729225373
BaseRepresentation
bin10000010111001…
…00110100111101
3100120021010120020
420023210310331
5240114032112
621341442353
73254424030
oct1013446475
9316233506
10137252157
1170525639
1239b703b9
13225876c3
141432b017
15c0b248c
hex82e4d3d

137252157 has 16 divisors (see below), whose sum is σ = 216359040. Its totient is φ = 75724992.

The previous prime is 137252153. The next prime is 137252177. The reversal of 137252157 is 751252731.

It is a happy number.

137252157 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 137252157 - 22 = 137252153 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137252153) 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, 112078 + ... + 113295.

It is an arithmetic number, because the mean of its divisors is an integer number (13522440).

Almost surely, 2137252157 is an apocalyptic number.

It is an amenable number.

137252157 is a deficient number, since it is larger than the sum of its proper divisors (79106883).

137252157 is a wasteful number, since it uses less digits than its factorization.

137252157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225412.

The product of its digits is 14700, while the sum is 33.

The square root of 137252157 is about 11715.4665720150. The cubic root of 137252157 is about 515.8297580027.

The spelling of 137252157 in words is "one hundred thirty-seven million, two hundred fifty-two thousand, one hundred fifty-seven".

Divisors: 1 3 7 21 29 87 203 609 225373 676119 1577611 4732833 6535817 19607451 45750719 137252157