130199142528 has 1024 divisors, whose sum is σ = 495929548800. Its totient is φ = 32714440704.

The previous prime is 130199142523. The next prime is 130199142529. The reversal of 130199142528 is 825241991031.

130199142528 is a `hidden beast` number, since 1 + 30 + 1 + 9 + 91 + 4 + 2 + 528 = 666.

It is not an unprimeable number, because it can be changed into a prime (130199142523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 779635501 + ... + 779635667.

It is an arithmetic number, because the mean of its divisors is an integer number (484306200).

Almost surely, 2^130199142528 is an apocalyptic number.

130199142528 is a gapful number since it is divisible by the number (18) 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 130199142528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247964774400).

130199142528 is an abundant number, since it is smaller than the sum of its proper divisors (365730406272).

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

130199142528 is a wasteful number, since it uses less digits than its factorization.

130199142528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 130199142528 in words is "one hundred thirty billion, one hundred ninety-nine million, one hundred forty-two thousand, five hundred twenty-eight".