130205200 has 30 divisors (see below), whose sum is σ = 312818954. Its totient is φ = 52081920.

The previous prime is 130205191. The next prime is 130205203. The reversal of 130205200 is 2502031.

It can be written as a sum of positive squares in 3 ways, for example, as 6906384 + 123298816 = 2628^2 + 11104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130205203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 162357 + ... + 163156.

Almost surely, 2^130205200 is an apocalyptic number.

130205200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130205200 is an abundant number, since it is smaller than the sum of its proper divisors (182613754).

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

130205200 is a wasteful number, since it uses less digits than its factorization.

130205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325531 (or 325520 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 130205200 is about 11410.7493180772. The cubic root of 130205200 is about 506.8461006510.

Adding to 130205200 its reverse (2502031), we get a palindrome (132707231).

The spelling of 130205200 in words is "one hundred thirty million, two hundred five thousand, two hundred".