131972949250704 has 405 divisors, whose sum is σ = 390744039333193. Its totient is φ = 41577916630272.

The previous prime is 131972949250687. The next prime is 131972949250741. The reversal of 131972949250704 is 407052949279131.

The square root of 131972949250704 is 11487948.

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

131972949250704 is a `hidden beast` number, since 1 + 3 + 1 + 9 + 7 + 29 + 492 + 50 + 70 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31153678076304 + 100819271174400 = 5581548^2 + 10040880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 339262080142 + ... + 339262080530.

Almost surely, 2^{131972949250704} is an apocalyptic number.

131972949250704 is the 11487948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131972949250704

131972949250704 is an abundant number, since it is smaller than the sum of its proper divisors (258771090082489).

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

131972949250704 is an equidigital number, since it uses as much as digits as its factorization.

131972949250704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 131972949250704 in words is "one hundred thirty-one trillion, nine hundred seventy-two billion, nine hundred forty-nine million, two hundred fifty thousand, seven hundred four".