137506375476304 has 10 divisors (see below), whose sum is σ = 266418602485370. Its totient is φ = 68753187738144.

The previous prime is 137506375476269. The next prime is 137506375476343. The reversal of 137506375476304 is 403674573605731.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 112883145123904 + 24623230352400 = 10624648^2 + 4962180^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4297074233619 + ... + 4297074233650.

It is an arithmetic number, because the mean of its divisors is an integer number (26641860248537).

Almost surely, 2^{137506375476304} is an apocalyptic number.

It is an amenable number.

137506375476304 is a deficient number, since it is larger than the sum of its proper divisors (128912227009066).

137506375476304 is an equidigital number, since it uses as much as digits as its factorization.

137506375476304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8594148467277 (or 8594148467271 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 61.

The spelling of 137506375476304 in words is "one hundred thirty-seven trillion, five hundred six billion, three hundred seventy-five million, four hundred seventy-six thousand, three hundred four".