130047201792 has 240 divisors, whose sum is σ = 395976129120. Its totient is φ = 40974336000.

The previous prime is 130047201787. The next prime is 130047201839. The reversal of 130047201792 is 297102740031.

130047201792 is a `hidden beast` number, since 13 + 0 + 0 + 472 + 0 + 179 + 2 = 666.

It is a super-2 number, since 2×130047201792² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45613167 + ... + 45616017.

It is an arithmetic number, because the mean of its divisors is an integer number (1649900538).

Almost surely, 2^130047201792 is an apocalyptic number.

130047201792 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 130047201792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197988064560).

130047201792 is an abundant number, since it is smaller than the sum of its proper divisors (265928927328).

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

130047201792 is a wasteful number, since it uses less digits than its factorization.

130047201792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 130047201792 in words is "one hundred thirty billion, forty-seven million, two hundred one thousand, seven hundred ninety-two".