130024000 has 56 divisors (see below), whose sum is σ = 322024248. Its totient is φ = 52006400.

The previous prime is 130023983. The next prime is 130024009. The reversal of 130024000 is 420031.

It can be written as a sum of positive squares in 4 ways, for example, as 1700416 + 128323584 = 1304^2 + 11328^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130024009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127 + ... + 16126.

It is an arithmetic number, because the mean of its divisors is an integer number (5750433).

Almost surely, 2^130024000 is an apocalyptic number.

130024000 is a gapful number since it is divisible by the number (10) 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 130024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161012124).

130024000 is an abundant number, since it is smaller than the sum of its proper divisors (192000248).

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

130024000 is an equidigital number, since it uses as much as digits as its factorization.

130024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16280 (or 16260 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 130024000 is about 11402.8066720435. The cubic root of 130024000 is about 506.6108741274.

Adding to 130024000 its reverse (420031), we get a palindrome (130444031).

The spelling of 130024000 in words is "one hundred thirty million, twenty-four thousand".