130641984 has 280 divisors, whose sum is σ = 442569600. Its totient is φ = 37739520.

The previous prime is 130641983. The next prime is 130641997. The reversal of 130641984 is 489146031.

130641984 is a `hidden beast` number, since 1 + 3 + 0 + 641 + 9 + 8 + 4 = 666.

It is a super-3 number, since 3×130641984³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130641983) 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 39 ways as a sum of consecutive naturals, for example, 1653657 + ... + 1653735.

Almost surely, 2^130641984 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 130641984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221284800).

130641984 is an abundant number, since it is smaller than the sum of its proper divisors (311927616).

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

130641984 is a wasteful number, since it uses less digits than its factorization.

130641984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 130641984 is about 11429.8724402331. The cubic root of 130641984 is about 507.4122203330.

The spelling of 130641984 in words is "one hundred thirty million, six hundred forty-one thousand, nine hundred eighty-four".