137175675688804 has 81 divisors (see below), whose sum is σ = 248499655397721. Its totient is φ = 66256395202080.

The previous prime is 137175675688789. The next prime is 137175675688823. The reversal of 137175675688804 is 408886576571731.

The square root of 137175675688804 is 11712202.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 122746678392100 + 14428997296704 = 11079110^2 + 3798552^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 141272580039 + ... + 141272581009.

Almost surely, 2^{137175675688804} is an apocalyptic number.

137175675688804 is the 11712202-nd square number.

It is an amenable number.

137175675688804 is a deficient number, since it is larger than the sum of its proper divisors (111323979708917).

137175675688804 is an frugal number, since it uses more digits than its factorization.

137175675688804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 1896652800, while the sum is 76.

The spelling of 137175675688804 in words is "one hundred thirty-seven trillion, one hundred seventy-five billion, six hundred seventy-five million, six hundred eighty-eight thousand, eight hundred four".