130881733920 has 576 divisors, whose sum is σ = 530259125760. Its totient is φ = 28772941824.

The previous prime is 130881733919. The next prime is 130881733967. The reversal of 130881733920 is 29337188031.

It is a happy number.

130881733920 is a `hidden beast` number, since 1 + 308 + 8 + 1 + 7 + 339 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33191469 + ... + 33195411.

It is an arithmetic number, because the mean of its divisors is an integer number (920588760).

Almost surely, 2^130881733920 is an apocalyptic number.

130881733920 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 130881733920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265129562880).

130881733920 is an abundant number, since it is smaller than the sum of its proper divisors (399377391840).

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

130881733920 is a wasteful number, since it uses less digits than its factorization.

130881733920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 130881733920 in words is "one hundred thirty billion, eight hundred eighty-one million, seven hundred thirty-three thousand, nine hundred twenty".