130091680 has 144 divisors (see below), whose sum is σ = 338635080. Its totient is φ = 47151104.

The previous prime is 130091677. The next prime is 130091681. The reversal of 130091680 is 86190031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 115863696 + 14227984 = 10764^2 + 3772^2 .

It is not an unprimeable number, because it can be changed into a prime (130091681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2454534 + ... + 2454586.

Almost surely, 2^130091680 is an apocalyptic number.

130091680 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 130091680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169317540).

130091680 is an abundant number, since it is smaller than the sum of its proper divisors (208543400).

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

130091680 is a wasteful number, since it uses less digits than its factorization.

130091680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 130091680 is about 11405.7739763683. The cubic root of 130091680 is about 506.6987591245.

The spelling of 130091680 in words is "one hundred thirty million, ninety-one thousand, six hundred eighty".