137657265 has 32 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 72333504.

The previous prime is 137657257. The next prime is 137657269. The reversal of 137657265 is 562756731.

137657265 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 137657265 - 2³ = 137657257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137657269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448242 + ... + 448548.

It is an arithmetic number, because the mean of its divisors is an integer number (6985440).

Almost surely, 2^137657265 is an apocalyptic number.

137657265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137657265 is a deficient number, since it is larger than the sum of its proper divisors (85876815).

137657265 is a wasteful number, since it uses less digits than its factorization.

137657265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661.

The product of its digits is 264600, while the sum is 42.

The square root of 137657265 is about 11732.7432853532. The cubic root of 137657265 is about 516.3367603696.

The spelling of 137657265 in words is "one hundred thirty-seven million, six hundred fifty-seven thousand, two hundred sixty-five".