137506887625 has 16 divisors (see below), whose sum is σ = 171658890000. Its totient is φ = 109973270400.

The previous prime is 137506887619. The next prime is 137506887703. The reversal of 137506887625 is 526788605731.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 94738993209 + 42767894416 = 307797^2 + 206804^2 .

It is not a de Polignac number, because 137506887625 - 2²⁷ = 137372669897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137506887625.

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 15 ways as a sum of consecutive naturals, for example, 271651 + ... + 590599.

It is an arithmetic number, because the mean of its divisors is an integer number (10728680625).

Almost surely, 2^137506887625 is an apocalyptic number.

It is an amenable number.

137506887625 is a deficient number, since it is larger than the sum of its proper divisors (34152002375).

137506887625 is an equidigital number, since it uses as much as digits as its factorization.

137506887625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322413 (or 322403 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 58.

The spelling of 137506887625 in words is "one hundred thirty-seven billion, five hundred six million, eight hundred eighty-seven thousand, six hundred twenty-five".