130736346624 has 480 divisors, whose sum is σ = 431203338720. Its totient is φ = 38877511680.

The previous prime is 130736346623. The next prime is 130736346673. The reversal of 130736346624 is 426643637031.

130736346624 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 3 + 634 + 6 + 6 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 130736346624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130736346623) 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 47 ways as a sum of consecutive naturals, for example, 172702854 + ... + 172703610.

It is an arithmetic number, because the mean of its divisors is an integer number (898340289).

Almost surely, 2^130736346624 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 130736346624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215601669360).

130736346624 is an abundant number, since it is smaller than the sum of its proper divisors (300466992096).

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

130736346624 is an equidigital number, since it uses as much as digits as its factorization.

130736346624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 130736346624 in words is "one hundred thirty billion, seven hundred thirty-six million, three hundred forty-six thousand, six hundred twenty-four".