130678732800 has 1728 divisors, whose sum is σ = 608361062400. Its totient is φ = 26011238400.

The previous prime is 130678732687. The next prime is 130678732909. The reversal of 130678732800 is 8237876031.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1028966337 + ... + 1028966463.

It is an arithmetic number, because the mean of its divisors is an integer number (352060800).

Almost surely, 2^130678732800 is an apocalyptic number.

130678732800 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 130678732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304180531200).

130678732800 is an abundant number, since it is smaller than the sum of its proper divisors (477682329600).

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

130678732800 is a wasteful number, since it uses less digits than its factorization.

130678732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 130678732800 in words is "one hundred thirty billion, six hundred seventy-eight million, seven hundred thirty-two thousand, eight hundred".