130634263872 has 672 divisors, whose sum is σ = 455386480640. Its totient is φ = 35025592320.

The previous prime is 130634263847. The next prime is 130634263873. The reversal of 130634263872 is 278362436031.

130634263872 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 3 + 4 + 2 + 638 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130634263873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 939814779 + ... + 939814917.

Almost surely, 2^130634263872 is an apocalyptic number.

130634263872 is a gapful number since it is divisible by the number (12) 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 130634263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227693240320).

130634263872 is an abundant number, since it is smaller than the sum of its proper divisors (324752216768).

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

130634263872 is a wasteful number, since it uses less digits than its factorization.

130634263872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 130634263872 in words is "one hundred thirty billion, six hundred thirty-four million, two hundred sixty-three thousand, eight hundred seventy-two".