130938920 has 64 divisors (see below), whose sum is σ = 338584320. Its totient is φ = 44642304.

The previous prime is 130938887. The next prime is 130938923. The reversal of 130938920 is 29839031.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (130938923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52829 + ... + 55251.

It is an arithmetic number, because the mean of its divisors is an integer number (5290380).

Almost surely, 2^130938920 is an apocalyptic number.

130938920 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 130938920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169292160).

130938920 is an abundant number, since it is smaller than the sum of its proper divisors (207645400).

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

130938920 is a wasteful number, since it uses less digits than its factorization.

130938920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 130938920 is about 11442.8545389688. The cubic root of 130938920 is about 507.7963616394.

The spelling of 130938920 in words is "one hundred thirty million, nine hundred thirty-eight thousand, nine hundred twenty".