130256100864 has 480 divisors, whose sum is σ = 417077591040. Its totient is φ = 40110723072.

The previous prime is 130256100851. The next prime is 130256100913. The reversal of 130256100864 is 468001652031.

It is a happy number.

130256100864 is a `hidden beast` number, since 1 + 30 + 2 + 5 + 610 + 0 + 8 + 6 + 4 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 214589649 + ... + 214590255.

It is an arithmetic number, because the mean of its divisors is an integer number (868911648).

Almost surely, 2^130256100864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130256100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208538795520).

130256100864 is an abundant number, since it is smaller than the sum of its proper divisors (286821490176).

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

130256100864 is an equidigital number, since it uses as much as digits as its factorization.

130256100864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 130256100864 its reverse (468001652031), we get a palindrome (598257752895).

The spelling of 130256100864 in words is "one hundred thirty billion, two hundred fifty-six million, one hundred thousand, eight hundred sixty-four".