130394871168 has 128 divisors (see below), whose sum is σ = 351212112000. Its totient is φ = 42858934272.

The previous prime is 130394871161. The next prime is 130394871181. The reversal of 130394871168 is 861178493031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 130394871168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130394871161) 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 15 ways as a sum of consecutive naturals, for example, 12947671 + ... + 12957737.

It is an arithmetic number, because the mean of its divisors is an integer number (2743844625).

Almost surely, 2^130394871168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130394871168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175606056000).

130394871168 is an abundant number, since it is smaller than the sum of its proper divisors (220817240832).

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

130394871168 is a wasteful number, since it uses less digits than its factorization.

130394871168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10552 (or 10540 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 130394871168 in words is "one hundred thirty billion, three hundred ninety-four million, eight hundred seventy-one thousand, one hundred sixty-eight".