130382824 has 72 divisors (see below), whose sum is σ = 291337830. Its totient is φ = 54637440.

The previous prime is 130382801. The next prime is 130382827. The reversal of 130382824 is 428283031.

It can be written as a sum of positive squares in 3 ways, for example, as 64480900 + 65901924 = 8030^2 + 8118^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (130382827) 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 17 ways as a sum of consecutive naturals, for example, 163194 + ... + 163990.

Almost surely, 2^130382824 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 130382824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145668915).

130382824 is an abundant number, since it is smaller than the sum of its proper divisors (160955006).

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

130382824 is a wasteful number, since it uses less digits than its factorization.

130382824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 130382824 is about 11418.5298528313. The cubic root of 130382824 is about 507.0764732334.

The spelling of 130382824 in words is "one hundred thirty million, three hundred eighty-two thousand, eight hundred twenty-four".