130940802720 has 1728 divisors, whose sum is σ = 616627904256. Its totient is φ = 25918341120.

The previous prime is 130940802677. The next prime is 130940802787. The reversal of 130940802720 is 27208049031.

130940802720 is a `hidden beast` number, since 1 + 309 + 4 + 0 + 80 + 272 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 421031365 + ... + 421031675.

It is an arithmetic number, because the mean of its divisors is an integer number (356844852).

Almost surely, 2^130940802720 is an apocalyptic number.

130940802720 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 130940802720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308313952128).

130940802720 is an abundant number, since it is smaller than the sum of its proper divisors (485687101536).

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

130940802720 is a wasteful number, since it uses less digits than its factorization.

130940802720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 130940802720 in words is "one hundred thirty billion, nine hundred forty million, eight hundred two thousand, seven hundred twenty".