137507007625 has 16 divisors (see below), whose sum is σ = 184809420432. Its totient is φ = 101543635200.

The previous prime is 137507007601. The next prime is 137507007643. The reversal of 137507007625 is 526700705731.

It can be written as a sum of positive squares in 8 ways, for example, as 42808023801 + 94698983824 = 206901^2 + 307732^2 .

It is not a de Polignac number, because 137507007625 - 2⁵ = 137507007593 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42308224 + ... + 42311473.

It is an arithmetic number, because the mean of its divisors is an integer number (11550588777).

Almost surely, 2^137507007625 is an apocalyptic number.

It is an amenable number.

137507007625 is a deficient number, since it is larger than the sum of its proper divisors (47302412807).

137507007625 is an equidigital number, since it uses as much as digits as its factorization.

137507007625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84619725 (or 84619715 counting only the distinct ones).

The product of its (nonzero) digits is 308700, while the sum is 43.

The spelling of 137507007625 in words is "one hundred thirty-seven billion, five hundred seven million, seven thousand, six hundred twenty-five".