131048764704 has 576 divisors, whose sum is σ = 461076295680. Its totient is φ = 36089349120.

The previous prime is 131048764697. The next prime is 131048764727. The reversal of 131048764704 is 407467840131.

131048764704 is a `hidden beast` number, since 1 + 3 + 104 + 8 + 76 + 470 + 4 = 666.

131048764704 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 131048764704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74500977 + ... + 74502735.

It is an arithmetic number, because the mean of its divisors is an integer number (800479680).

Almost surely, 2^131048764704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131048764704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230538147840).

131048764704 is an abundant number, since it is smaller than the sum of its proper divisors (330027530976).

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

131048764704 is a wasteful number, since it uses less digits than its factorization.

131048764704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 131048764704 in words is "one hundred thirty-one billion, forty-eight million, seven hundred sixty-four thousand, seven hundred four".