130531824 has 210 divisors, whose sum is σ = 413101536. Its totient is φ = 39890880.

The previous prime is 130531801. The next prime is 130531829. The reversal of 130531824 is 428135031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130531829) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4210689 + ... + 4210719.

Almost surely, 2^130531824 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 130531824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206550768).

130531824 is an abundant number, since it is smaller than the sum of its proper divisors (282569712).

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

130531824 is an equidigital number, since it uses as much as digits as its factorization.

130531824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 130531824 is about 11425.0524725272. The cubic root of 130531824 is about 507.2695600975.

Adding to 130531824 its reverse (428135031), we get a palindrome (558666855).

The spelling of 130531824 in words is "one hundred thirty million, five hundred thirty-one thousand, eight hundred twenty-four".