130189800 has 96 divisors (see below), whose sum is σ = 434659680. Its totient is φ = 32044800.

The previous prime is 130189781. The next prime is 130189819. The reversal of 130189800 is 8981031.

130189800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (130189781) and next prime (130189819).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546 + ... + 16145.

It is an arithmetic number, because the mean of its divisors is an integer number (4527705).

Almost surely, 2^130189800 is an apocalyptic number.

130189800 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 130189800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217329840).

130189800 is an abundant number, since it is smaller than the sum of its proper divisors (304469880).

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

130189800 is a wasteful number, since it uses less digits than its factorization.

130189800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16723 (or 16714 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 130189800 is about 11410.0744958129. The cubic root of 130189800 is about 506.8261174817.

The spelling of 130189800 in words is "one hundred thirty million, one hundred eighty-nine thousand, eight hundred".