130357512000 has 560 divisors, whose sum is σ = 495377742288. Its totient is φ = 33816268800.

The previous prime is 130357511989. The next prime is 130357512011. The reversal of 130357512000 is 215753031.

It is an interprime number because it is at equal distance from previous prime (130357511989) and next prime (130357512011).

It can be written as a sum of positive squares in 8 ways, for example, as 14964139584 + 115393372416 = 122328^2 + 339696^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 23973282 + ... + 23978718.

Almost surely, 2^130357512000 is an apocalyptic number.

130357512000 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 130357512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247688871144).

130357512000 is an abundant number, since it is smaller than the sum of its proper divisors (365020230288).

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

130357512000 is an equidigital number, since it uses as much as digits as its factorization.

130357512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5513 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The spelling of 130357512000 in words is "one hundred thirty billion, three hundred fifty-seven million, five hundred twelve thousand".