130987584 has 448 divisors, whose sum is σ = 512064000. Its totient is φ = 32514048.

The previous prime is 130987573. The next prime is 130987603. The reversal of 130987584 is 485789031.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7705144 + ... + 7705160.

It is an arithmetic number, because the mean of its divisors is an integer number (1143000).

Almost surely, 2^130987584 is an apocalyptic number.

130987584 is a gapful number since it is divisible by the number (14) 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 130987584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256032000).

130987584 is an abundant number, since it is smaller than the sum of its proper divisors (381076416).

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

130987584 is a wasteful number, since it uses less digits than its factorization.

130987584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 130987584 is about 11444.9807339287. The cubic root of 130987584 is about 507.8592620651.

The spelling of 130987584 in words is "one hundred thirty million, nine hundred eighty-seven thousand, five hundred eighty-four".