130518657024 has 192 divisors, whose sum is σ = 403284510720. Its totient is φ = 36764958720.

The previous prime is 130518657001. The next prime is 130518657067. The reversal of 130518657024 is 420756815031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3032197 + ... + 3074939.

It is an arithmetic number, because the mean of its divisors is an integer number (2100440160).

Almost surely, 2^130518657024 is an apocalyptic number.

130518657024 is a gapful number since it is divisible by the number (14) 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 130518657024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201642255360).

130518657024 is an abundant number, since it is smaller than the sum of its proper divisors (272765853696).

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

130518657024 is an equidigital number, since it uses as much as digits as its factorization.

130518657024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42846 (or 42826 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 130518657024 in words is "one hundred thirty billion, five hundred eighteen million, six hundred fifty-seven thousand, twenty-four".