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137899953 = 32971371153
BaseRepresentation
bin10000011100000…
…10111110110001
3100121111001011200
420032002332301
5240300244303
621403401413
73263062452
oct1016027661
9317431150
10137899953
1170928304
123a223269
1322753509
1414459129
15c18e3a3
hex8382fb1

137899953 has 24 divisors (see below), whose sum is σ = 202887048. Its totient is φ = 90243072.

The previous prime is 137899943. The next prime is 137899961. The reversal of 137899953 is 359998731.

It can be written as a sum of positive squares in 4 ways, for example, as 39652209 + 98247744 = 6297^2 + 9912^2 .

It is not a de Polignac number, because 137899953 - 25 = 137899921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137899953.

It is not an unprimeable number, because it can be changed into a prime (137899913) 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, 119025 + ... + 120177.

It is an arithmetic number, because the mean of its divisors is an integer number (8453627).

Almost surely, 2137899953 is an apocalyptic number.

It is an amenable number.

137899953 is a deficient number, since it is larger than the sum of its proper divisors (64987095).

137899953 is a wasteful number, since it uses less digits than its factorization.

137899953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1390 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The square root of 137899953 is about 11743.0810692935. The cubic root of 137899953 is about 516.6400139332.

The spelling of 137899953 in words is "one hundred thirty-seven million, eight hundred ninety-nine thousand, nine hundred fifty-three".

Divisors: 1 3 9 97 137 291 411 873 1153 1233 3459 10377 13289 39867 111841 119601 157961 335523 473883 1006569 1421649 15322217 45966651 137899953