137643531336964 has 81 divisors (see below), whose sum is σ = 257183769929247. Its totient is φ = 64448404327296.

The previous prime is 137643531336923. The next prime is 137643531336979. The reversal of 137643531336964 is 469633135346731.

The square root of 137643531336964 is 11732158.

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

It can be written as a sum of positive squares in 4 ways, for example, as 90930680634564 + 46712850702400 = 9535758^2 + 6834680^2 .

It is a junction number, because it is equal to n+sod(n) for n = 137643531336896 and 137643531336905.

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, 39678156622 + ... + 39678160090.

Almost surely, 2^{137643531336964} is an apocalyptic number.

137643531336964 is the 11732158-th square number.

It is an amenable number.

137643531336964 is a deficient number, since it is larger than the sum of its proper divisors (119540238592283).

137643531336964 is an frugal number, since it uses more digits than its factorization.

137643531336964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7158 (or 3579 counting only the distinct ones).

The product of its digits is 264539520, while the sum is 64.

The spelling of 137643531336964 in words is "one hundred thirty-seven trillion, six hundred forty-three billion, five hundred thirty-one million, three hundred thirty-six thousand, nine hundred sixty-four".