130363584 has 112 divisors (see below), whose sum is σ = 384474720. Its totient is φ = 38707200.

The previous prime is 130363549. The next prime is 130363589. The reversal of 130363584 is 485363031.

It is not an unprimeable number, because it can be changed into a prime (130363589) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 71484 + ... + 73284.

It is an arithmetic number, because the mean of its divisors is an integer number (3432810).

Almost surely, 2^130363584 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 130363584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192237360).

130363584 is an abundant number, since it is smaller than the sum of its proper divisors (254111136).

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

130363584 is a wasteful number, since it uses less digits than its factorization.

130363584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 130363584 is about 11417.6873315046. The cubic root of 130363584 is about 507.0515296839.

The spelling of 130363584 in words is "one hundred thirty million, three hundred sixty-three thousand, five hundred eighty-four".