130908960 has 576 divisors, whose sum is σ = 585591552. Its totient is φ = 26873856.

The previous prime is 130908937. The next prime is 130908961. The reversal of 130908960 is 69809031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130908961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3538062 + ... + 3538098.

It is an arithmetic number, because the mean of its divisors is an integer number (1016652).

Almost surely, 2^130908960 is an apocalyptic number.

130908960 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 130908960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292795776).

130908960 is an abundant number, since it is smaller than the sum of its proper divisors (454682592).

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

130908960 is a wasteful number, since it uses less digits than its factorization.

130908960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 130908960 is about 11441.5453501701. The cubic root of 130908960 is about 507.7576292302.

The spelling of 130908960 in words is "one hundred thirty million, nine hundred eight thousand, nine hundred sixty".