130305200 has 60 divisors (see below), whose sum is σ = 314823600. Its totient is φ = 51828480.

The previous prime is 130305199. The next prime is 130305223. The reversal of 130305200 is 2503031.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78782 + ... + 80418.

It is an arithmetic number, because the mean of its divisors is an integer number (5247060).

Almost surely, 2^130305200 is an apocalyptic number.

130305200 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 130305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157411800).

130305200 is an abundant number, since it is smaller than the sum of its proper divisors (184518400).

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

130305200 is a wasteful number, since it uses less digits than its factorization.

130305200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 130305200 is about 11415.1303102505. The cubic root of 130305200 is about 506.9758231711.

Adding to 130305200 its reverse (2503031), we get a palindrome (132808231).

The spelling of 130305200 in words is "one hundred thirty million, three hundred five thousand, two hundred".