137305808625 has 32 divisors (see below), whose sum is σ = 228709907712. Its totient is φ = 73155072000.

The previous prime is 137305808621. The next prime is 137305808677. The reversal of 137305808625 is 526808503731.

It is not a de Polignac number, because 137305808625 - 2² = 137305808621 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137305808621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182385 + ... + 554865.

It is an arithmetic number, because the mean of its divisors is an integer number (7147184616).

Almost surely, 2^137305808625 is an apocalyptic number.

137305808625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137305808625 is a deficient number, since it is larger than the sum of its proper divisors (91404099087).

137305808625 is an equidigital number, since it uses as much as digits as its factorization.

137305808625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373482 (or 373472 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 137305808625 in words is "one hundred thirty-seven billion, three hundred five million, eight hundred eight thousand, six hundred twenty-five".