130764715200 has 1008 divisors, whose sum is σ = 575061527040. Its totient is φ = 28575866880.

The previous prime is 130764715099. The next prime is 130764715261. The reversal of 130764715200 is 2517467031.

It is a happy number.

130764715200 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 64 + 71 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×130764715200² (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 143 ways as a sum of consecutive naturals, for example, 62595756 + ... + 62597844.

Almost surely, 2^130764715200 is an apocalyptic number.

130764715200 is a gapful number since it is divisible by the number (10) 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 130764715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287530763520).

130764715200 is an abundant number, since it is smaller than the sum of its proper divisors (444296811840).

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

130764715200 is a wasteful number, since it uses less digits than its factorization.

130764715200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 130764715200 in words is "one hundred thirty billion, seven hundred sixty-four million, seven hundred fifteen thousand, two hundred".