130884003072 has 216 divisors, whose sum is σ = 382397652000. Its totient is φ = 43050921984.

The previous prime is 130884003053. The next prime is 130884003091. The reversal of 130884003072 is 270300488031.

130884003072 is a `hidden beast` number, since 1 + 308 + 8 + 40 + 0 + 307 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (130884003053) and next prime (130884003091).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55956079 + ... + 55958417.

It is an arithmetic number, because the mean of its divisors is an integer number (1770359500).

Almost surely, 2^130884003072 is an apocalyptic number.

130884003072 is a gapful number since it is divisible by the number (12) 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 130884003072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191198826000).

130884003072 is an abundant number, since it is smaller than the sum of its proper divisors (251513648928).

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

130884003072 is a wasteful number, since it uses less digits than its factorization.

130884003072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2673 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 130884003072 in words is "one hundred thirty billion, eight hundred eighty-four million, three thousand, seventy-two".