130045504512 has 264 divisors, whose sum is σ = 439870495680. Its totient is φ = 33777623040.

The previous prime is 130045504499. The next prime is 130045504513. The reversal of 130045504512 is 215405540031.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×130045504512² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130045504512.

It is not an unprimeable number, because it can be changed into a prime (130045504513) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1616539 + ... + 1695077.

It is an arithmetic number, because the mean of its divisors is an integer number (1666176120).

Almost surely, 2^130045504512 is an apocalyptic number.

130045504512 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 130045504512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219935247840).

130045504512 is an abundant number, since it is smaller than the sum of its proper divisors (309824991168).

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

130045504512 is a wasteful number, since it uses less digits than its factorization.

130045504512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78587 (or 78562 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 130045504512 in words is "one hundred thirty billion, forty-five million, five hundred four thousand, five hundred twelve".