130641190080160 has 192 divisors, whose sum is σ = 322265731140864. Its totient is φ = 49999400755200.

The previous prime is 130641190080151. The next prime is 130641190080209. The reversal of 130641190080160 is 61080091146031.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 857650405 + ... + 857802715.

It is an arithmetic number, because the mean of its divisors is an integer number (1678467349692).

Almost surely, 2^{130641190080160} is an apocalyptic number.

130641190080160 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 130641190080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161132865570432).

130641190080160 is an abundant number, since it is smaller than the sum of its proper divisors (191624541060704).

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

130641190080160 is a wasteful number, since it uses less digits than its factorization.

130641190080160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154887 (or 154879 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 130641190080160 in words is "one hundred thirty trillion, six hundred forty-one billion, one hundred ninety million, eighty thousand, one hundred sixty".