130749964800 has 1920 divisors, whose sum is σ = 589210288128. Its totient is φ = 24772608000.

The previous prime is 130749964799. The next prime is 130749964811. The reversal of 130749964800 is 8469947031.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1841548765 + ... + 1841548835.

Almost surely, 2^130749964800 is an apocalyptic number.

130749964800 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 130749964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294605144064).

130749964800 is an abundant number, since it is smaller than the sum of its proper divisors (458460323328).

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

130749964800 is a wasteful number, since it uses less digits than its factorization.

130749964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 130749964800 in words is "one hundred thirty billion, seven hundred forty-nine million, nine hundred sixty-four thousand, eight hundred".