130443175200 has 288 divisors, whose sum is σ = 477136711296. Its totient is φ = 30712872960.

The previous prime is 130443175193. The next prime is 130443175211. The reversal of 130443175200 is 2571344031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 626712 + ... + 808488.

It is an arithmetic number, because the mean of its divisors is an integer number (1656724692).

Almost surely, 2^130443175200 is an apocalyptic number.

130443175200 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 130443175200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238568355648).

130443175200 is an abundant number, since it is smaller than the sum of its proper divisors (346693536096).

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

130443175200 is a wasteful number, since it uses less digits than its factorization.

130443175200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181836 (or 181823 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 130443175200 in words is "one hundred thirty billion, four hundred forty-three million, one hundred seventy-five thousand, two hundred".