130055200 has 72 divisors (see below), whose sum is σ = 346384080. Its totient is φ = 47289600.

The previous prime is 130055153. The next prime is 130055207. The reversal of 130055200 is 2550031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (130055207) 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 11 ways as a sum of consecutive naturals, for example, 1411 + ... + 16189.

It is an arithmetic number, because the mean of its divisors is an integer number (4810890).

Almost surely, 2^130055200 is an apocalyptic number.

130055200 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 130055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173192040).

130055200 is an abundant number, since it is smaller than the sum of its proper divisors (216328880).

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

130055200 is a wasteful number, since it uses less digits than its factorization.

130055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14810 (or 14797 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 130055200 is about 11404.1746742147. The cubic root of 130055200 is about 506.6513922758.

The spelling of 130055200 in words is "one hundred thirty million, fifty-five thousand, two hundred".