130356864000 has 1232 divisors, whose sum is σ = 536109889536. Its totient is φ = 31352832000.

The previous prime is 130356863993. The next prime is 130356864013. The reversal of 130356864000 is 468653031.

130356864000 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 5 + 6 + 8 + 640 + 0 + 0 = 666.

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

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 1026431937 + ... + 1026432063.

Almost surely, 2^130356864000 is an apocalyptic number.

130356864000 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 130356864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268054944768).

130356864000 is an abundant number, since it is smaller than the sum of its proper divisors (405753025536).

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

130356864000 is an equidigital number, since it uses as much as digits as its factorization.

130356864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 130356864000 in words is "one hundred thirty billion, three hundred fifty-six million, eight hundred sixty-four thousand".