137657925 has 108 divisors (see below), whose sum is σ = 274660620. Its totient is φ = 65802240.

The previous prime is 137657917. The next prime is 137657969. The reversal of 137657925 is 529756731.

137657925 is a `hidden beast` number, since 1 + 3 + 76 + 579 + 2 + 5 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 42068196 + 95589729 = 6486^2 + 9777^2 .

It is not a de Polignac number, because 137657925 - 2³ = 137657917 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 1885689 + ... + 1885761.

Almost surely, 2^137657925 is an apocalyptic number.

137657925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137657925 is a deficient number, since it is larger than the sum of its proper divisors (137002695).

137657925 is a wasteful number, since it uses less digits than its factorization.

137657925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 137657925 is about 11732.7714117339. The cubic root of 137657925 is about 516.3375855633.

The spelling of 137657925 in words is "one hundred thirty-seven million, six hundred fifty-seven thousand, nine hundred twenty-five".