130291584 has 64 divisors (see below), whose sum is σ = 347518080. Its totient is φ = 43251200.

The previous prime is 130291559. The next prime is 130291613. The reversal of 130291584 is 485192031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×130291584² = 33951793722458112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118879 + ... + 119969.

It is an arithmetic number, because the mean of its divisors is an integer number (5429970).

Almost surely, 2^130291584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130291584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173759040).

130291584 is an abundant number, since it is smaller than the sum of its proper divisors (217226496).

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

130291584 is a wasteful number, since it uses less digits than its factorization.

130291584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 130291584 is about 11414.5338932433. The cubic root of 130291584 is about 506.9581640569.

The spelling of 130291584 in words is "one hundred thirty million, two hundred ninety-one thousand, five hundred eighty-four".