130878810720 has 768 divisors, whose sum is σ = 544610304000. Its totient is φ = 28725166080.

The previous prime is 130878810691. The next prime is 130878810737. The reversal of 130878810720 is 27018878031.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 139678092 + ... + 139679028.

It is an arithmetic number, because the mean of its divisors is an integer number (709128000).

Almost surely, 2^130878810720 is an apocalyptic number.

130878810720 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 130878810720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272305152000).

130878810720 is an abundant number, since it is smaller than the sum of its proper divisors (413731493280).

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

130878810720 is a wasteful number, since it uses less digits than its factorization.

130878810720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 130878810720 in words is "one hundred thirty billion, eight hundred seventy-eight million, eight hundred ten thousand, seven hundred twenty".