137231720704 has 135 divisors (see below), whose sum is σ = 298935759857. Its totient is φ = 62875398144.

The previous prime is 137231720693. The next prime is 137231720723. The reversal of 137231720704 is 407027132731.

The square root of 137231720704 is 370448.

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

It can be written as a sum of positive squares in 7 ways, for example, as 136072454400 + 1159266304 = 368880^2 + 34048^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1001691324 + ... + 1001691460.

Almost surely, 2^137231720704 is an apocalyptic number.

137231720704 is the 370448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137231720704

137231720704 is an abundant number, since it is smaller than the sum of its proper divisors (161704039153).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137231720704 is an frugal number, since it uses more digits than its factorization.

137231720704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

The spelling of 137231720704 in words is "one hundred thirty-seven billion, two hundred thirty-one million, seven hundred twenty thousand, seven hundred four".