13137625 has 16 divisors (see below), whose sum is σ = 16503552. Its totient is φ = 10441200.

The previous prime is 13137611. The next prime is 13137629. The reversal of 13137625 is 52673131.

13137625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13137625 - 2⁷ = 13137497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13137593 and 13137602.

It is not an unprimeable number, because it can be changed into a prime (13137629) 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 15 ways as a sum of consecutive naturals, for example, 28144 + ... + 28606.

It is an arithmetic number, because the mean of its divisors is an integer number (1031472).

Almost surely, 2^13137625 is an apocalyptic number.

It is an amenable number.

13137625 is a deficient number, since it is larger than the sum of its proper divisors (3365927).

13137625 is an equidigital number, since it uses as much as digits as its factorization.

13137625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 695 counting only the distinct ones).

The product of its digits is 3780, while the sum is 28.

The square root of 13137625 is about 3624.5861832767. The cubic root of 13137625 is about 235.9603076500.

The spelling of 13137625 in words is "thirteen million, one hundred thirty-seven thousand, six hundred twenty-five".