130032000 has 512 divisors, whose sum is σ = 560102400. Its totient is φ = 29030400.

The previous prime is 130031983. The next prime is 130032037. The reversal of 130032000 is 230031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 3023979 + ... + 3024021.

It is an arithmetic number, because the mean of its divisors is an integer number (1093950).

Almost surely, 2^130032000 is an apocalyptic number.

130032000 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 130032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280051200).

130032000 is an abundant number, since it is smaller than the sum of its proper divisors (430070400).

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

130032000 is an equidigital number, since it uses as much as digits as its factorization.

130032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 130032000 is about 11403.1574574764. The cubic root of 130032000 is about 506.6212640141.

Adding to 130032000 its reverse (230031), we get a palindrome (130262031).

The spelling of 130032000 in words is "one hundred thirty million, thirty-two thousand".