130001584 has 20 divisors (see below), whose sum is σ = 266694984. Its totient is φ = 61177088.

The previous prime is 130001581. The next prime is 130001593. The reversal of 130001584 is 485100031.

It is not an unprimeable number, because it can be changed into a prime (130001581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238702 + ... + 239245.

Almost surely, 2^130001584 is an apocalyptic number.

It is an amenable number.

130001584 is an abundant number, since it is smaller than the sum of its proper divisors (136693400).

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

130001584 is a wasteful number, since it uses less digits than its factorization.

130001584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477972 (or 477966 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 130001584 is about 11401.8237137749. The cubic root of 130001584 is about 506.5817593947.

The spelling of 130001584 in words is "one hundred thirty million, one thousand, five hundred eighty-four".