130975961223168 has 208 divisors, whose sum is σ = 388066440752640. Its totient is φ = 43654503038976.

The previous prime is 130975961223167. The next prime is 130975961223277. The reversal of 130975961223168 is 861322169579031.

130975961223168 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 7 + 5 + 9 + 612 + 2 + 3 + 1 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (130975961223167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1298631430 + ... + 1298732282.

It is an arithmetic number, because the mean of its divisors is an integer number (1865704042080).

Almost surely, 2^{130975961223168} is an apocalyptic number.

130975961223168 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 130975961223168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194033220376320).

130975961223168 is an abundant number, since it is smaller than the sum of its proper divisors (257090479529472).

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

130975961223168 is a wasteful number, since it uses less digits than its factorization.

130975961223168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112629 (or 112601 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 130975961223168 in words is "one hundred thirty trillion, nine hundred seventy-five billion, nine hundred sixty-one million, two hundred twenty-three thousand, one hundred sixty-eight".