130301584 has 40 divisors (see below), whose sum is σ = 294425600. Its totient is φ = 55841184.

The previous prime is 130301581. The next prime is 130301599. The reversal of 130301584 is 485103031.

It is not an unprimeable number, because it can be changed into a prime (130301581) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6384 + ... + 17359.

It is an arithmetic number, because the mean of its divisors is an integer number (7360640).

Almost surely, 2^130301584 is an apocalyptic number.

130301584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130301584 is an abundant number, since it is smaller than the sum of its proper divisors (164124016).

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

130301584 is an equidigital number, since it uses as much as digits as its factorization.

130301584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23772 (or 23752 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 130301584 is about 11414.9719228739. The cubic root of 130301584 is about 506.9711335616.

The spelling of 130301584 in words is "one hundred thirty million, three hundred one thousand, five hundred eighty-four".