130715843973120 has 1248 divisors, whose sum is σ = 537646916980992. Its totient is φ = 29841876320256.

The previous prime is 130715843973119. The next prime is 130715843973203. The reversal of 130715843973120 is 21379348517031.

130715843973120 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 1 + 584 + 3 + 9 + 7 + 31 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38076270924 + ... + 38076274356.

It is an arithmetic number, because the mean of its divisors is an integer number (430806824504).

Almost surely, 2^{130715843973120} is an apocalyptic number.

130715843973120 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 130715843973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268823458490496).

130715843973120 is an abundant number, since it is smaller than the sum of its proper divisors (406931073007872).

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

130715843973120 is an equidigital number, since it uses as much as digits as its factorization.

130715843973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 130715843973120 in words is "one hundred thirty trillion, seven hundred fifteen billion, eight hundred forty-three million, nine hundred seventy-three thousand, one hundred twenty".