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137972187 = 3317300593
BaseRepresentation
bin10000011100101…
…00100111011011
3100121121201021000
420032110213123
5240310102222
621405120043
73263513163
oct1016244733
9317551230
10137972187
1170977601
123a259023
132277a362
14144775a3
15c1a59ac
hex83949db

137972187 has 16 divisors (see below), whose sum is σ = 216427680. Its totient is φ = 86570496.

The previous prime is 137972143. The next prime is 137972203. The reversal of 137972187 is 781279731.

137972187 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 137972187 - 26 = 137972123 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137972287) 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, 149838 + ... + 150755.

It is an arithmetic number, because the mean of its divisors is an integer number (13526730).

Almost surely, 2137972187 is an apocalyptic number.

137972187 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

137972187 is a deficient number, since it is larger than the sum of its proper divisors (78455493).

137972187 is a wasteful number, since it uses less digits than its factorization.

137972187 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300619 (or 300613 counting only the distinct ones).

The product of its digits is 148176, while the sum is 45.

The square root of 137972187 is about 11746.1562649234. The cubic root of 137972187 is about 516.7302060370.

The spelling of 137972187 in words is "one hundred thirty-seven million, nine hundred seventy-two thousand, one hundred eighty-seven".

Divisors: 1 3 9 17 27 51 153 459 300593 901779 2705337 5110081 8116011 15330243 45990729 137972187