130957134400 has 189 divisors, whose sum is σ = 329185337691. Its totient is φ = 51276948480.

The previous prime is 130957134397. The next prime is 130957134401. The reversal of 130957134400 is 4431759031.

The square root of 130957134400 is 361880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 480135744 + 130476998656 = 21912^2 + 361216^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 130957134400.

It is not an unprimeable number, because it can be changed into a prime (130957134401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1201441546 + ... + 1201441654.

Almost surely, 2^130957134400 is an apocalyptic number.

130957134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130957134400 is the 361880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130957134400

130957134400 is an abundant number, since it is smaller than the sum of its proper divisors (198228203291).

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

130957134400 is an frugal number, since it uses more digits than its factorization.

130957134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 130957134400 in words is "one hundred thirty billion, nine hundred fifty-seven million, one hundred thirty-four thousand, four hundred".