130591226304 has 168 divisors, whose sum is σ = 466680060288. Its totient is φ = 33919787520.

The previous prime is 130591226287. The next prime is 130591226321. The reversal of 130591226304 is 403622195031.

130591226304 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 9 + 12 + 2 + 630 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (130591226287) and next prime (130591226321).

It is a tau number, because it is divible by the number of its divisors (168).

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1427862 + ... + 1516565.

Almost surely, 2^130591226304 is an apocalyptic number.

130591226304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130591226304 is an abundant number, since it is smaller than the sum of its proper divisors (336088833984).

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

130591226304 is a wasteful number, since it uses less digits than its factorization.

130591226304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944463 (or 2944450 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 130591226304 in words is "one hundred thirty billion, five hundred ninety-one million, two hundred twenty-six thousand, three hundred four".