130580736000 has 1536 divisors, whose sum is σ = 540901670400. Its totient is φ = 27525120000.

The previous prime is 130580735953. The next prime is 130580736007. The reversal of 130580736000 is 637085031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×130580736000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (130580736007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3184895980 + ... + 3184896020.

It is an arithmetic number, because the mean of its divisors is an integer number (352149525).

Almost surely, 2^130580736000 is an apocalyptic number.

130580736000 is a gapful number since it is divisible by the number (10) 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 130580736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270450835200).

130580736000 is an abundant number, since it is smaller than the sum of its proper divisors (410320934400).

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

130580736000 is a wasteful number, since it uses less digits than its factorization.

130580736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 130580736000 in words is "one hundred thirty billion, five hundred eighty million, seven hundred thirty-six thousand".