130192516272 has 480 divisors, whose sum is σ = 436075131072. Its totient is φ = 33150394368.

The previous prime is 130192516231. The next prime is 130192516297. The reversal of 130192516272 is 272615291031.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 130192516272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177615618 + ... + 177616350.

Almost surely, 2^130192516272 is an apocalyptic number.

130192516272 is a gapful number since it is divisible by the number (12) 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 130192516272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218037565536).

130192516272 is an abundant number, since it is smaller than the sum of its proper divisors (305882614800).

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

130192516272 is a wasteful number, since it uses less digits than its factorization.

130192516272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 130192516272 in words is "one hundred thirty billion, one hundred ninety-two million, five hundred sixteen thousand, two hundred seventy-two".