130752448200 has 288 divisors, whose sum is σ = 504242949600. Its totient is φ = 30029184000.

The previous prime is 130752448157. The next prime is 130752448207. The reversal of 130752448200 is 2844257031.

It is a happy number.

130752448200 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 5 + 2 + 448 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130752448207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 202420 + ... + 549980.

It is an arithmetic number, because the mean of its divisors is an integer number (1750843575).

Almost surely, 2^130752448200 is an apocalyptic number.

130752448200 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 130752448200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252121474800).

130752448200 is an abundant number, since it is smaller than the sum of its proper divisors (373490501400).

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

130752448200 is a wasteful number, since it uses less digits than its factorization.

130752448200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347613 (or 347601 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 130752448200 in words is "one hundred thirty billion, seven hundred fifty-two million, four hundred forty-eight thousand, two hundred".