130901992704 has 576 divisors, whose sum is σ = 453104762880. Its totient is φ = 36964988928.

The previous prime is 130901992703. The next prime is 130901992709. The reversal of 130901992704 is 407299109031.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 130901992704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130901992703) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 497726077 + ... + 497726339.

Almost surely, 2^130901992704 is an apocalyptic number.

130901992704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130901992704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226552381440).

130901992704 is an abundant number, since it is smaller than the sum of its proper divisors (322202770176).

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

130901992704 is an frugal number, since it uses more digits than its factorization.

130901992704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 130901992704 in words is "one hundred thirty billion, nine hundred one million, nine hundred ninety-two thousand, seven hundred four".