131764961547664 has 45 divisors (see below), whose sum is σ = 255726180666369. Its totient is φ = 65771296225920.

The previous prime is 131764961547601. The next prime is 131764961547811. The reversal of 131764961547664 is 466745169467131.

The square root of 131764961547664 is 11478892.

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., 1581608064400 + 130183353483264 = 1257620^2 + 11409792^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131764961547593 and 131764961547602.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31727655412 + ... + 31727659564.

Almost surely, 2^{131764961547664} is an apocalyptic number.

131764961547664 is the 11478892-nd square number.

It is an amenable number.

131764961547664 is a deficient number, since it is larger than the sum of its proper divisors (123961219118705).

131764961547664 is an frugal number, since it uses more digits than its factorization.

131764961547664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9696 (or 4846 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 70.

The spelling of 131764961547664 in words is "one hundred thirty-one trillion, seven hundred sixty-four billion, nine hundred sixty-one million, five hundred forty-seven thousand, six hundred sixty-four".