130115143825920 has 3200 divisors, whose sum is σ = 551094559690752. Its totient is φ = 28991383142400.

The previous prime is 130115143825897. The next prime is 130115143825987. The reversal of 130115143825920 is 29528341511031.

130115143825920 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 1 + 51 + 4 + 3 + 8 + 2 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 459770826099 + ... + 459770826381.

Almost surely, 2^{130115143825920} is an apocalyptic number.

130115143825920 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 130115143825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275547279845376).

130115143825920 is an abundant number, since it is smaller than the sum of its proper divisors (420979415864832).

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

130115143825920 is a wasteful number, since it uses less digits than its factorization.

130115143825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 130115143825920 in words is "one hundred thirty trillion, one hundred fifteen billion, one hundred forty-three million, eight hundred twenty-five thousand, nine hundred twenty".