130960032 has 96 divisors (see below), whose sum is σ = 400401792. Its totient is φ = 36701184.

The previous prime is 130960021. The next prime is 130960043. The reversal of 130960032 is 230069031.

It is an interprime number because it is at equal distance from previous prime (130960021) and next prime (130960043).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 130959984 and 130960011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33778 + ... + 37454.

It is an arithmetic number, because the mean of its divisors is an integer number (4170852).

Almost surely, 2^130960032 is an apocalyptic number.

130960032 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 130960032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200200896).

130960032 is an abundant number, since it is smaller than the sum of its proper divisors (269441760).

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

130960032 is a wasteful number, since it uses less digits than its factorization.

130960032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 130960032 is about 11443.7769988759. The cubic root of 130960032 is about 507.8236517699.

The spelling of 130960032 in words is "one hundred thirty million, nine hundred sixty thousand, thirty-two".