137605125 has 128 divisors (see below), whose sum is σ = 287539200. Its totient is φ = 57024000.

The previous prime is 137605093. The next prime is 137605141. The reversal of 137605125 is 521506731.

It is not a de Polignac number, because 137605125 - 2⁵ = 137605093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137605092 and 137605101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1546081 + ... + 1546169.

It is an arithmetic number, because the mean of its divisors is an integer number (2246400).

Almost surely, 2^137605125 is an apocalyptic number.

137605125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137605125 is an abundant number, since it is smaller than the sum of its proper divisors (149934075).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137605125 is a wasteful number, since it uses less digits than its factorization.

137605125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 137605125 is about 11730.5210881700. The cubic root of 137605125 is about 516.2715617320.

The spelling of 137605125 in words is "one hundred thirty-seven million, six hundred five thousand, one hundred twenty-five".