130190815594161 has 189 divisors, whose sum is σ = 230497630765371. Its totient is φ = 73286920494144.

The previous prime is 130190815594117. The next prime is 130190815594171. The reversal of 130190815594161 is 161495518091031.

The square root of 130190815594161 is 11410119.

It is a perfect power (a square), and thus also a powerful number.

130190815594161 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 9 + 0 + 81 + 559 + 4 + 1 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73902649122225 + 56288166471936 = 8596665^2 + 7502544^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 130190815594161 - 2⁷ = 130190815594033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130190815594098 and 130190815594107.

It is not an unprimeable number, because it can be changed into a prime (130190815594111) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 157425411430 + ... + 157425412256.

Almost surely, 2^{130190815594161} is an apocalyptic number.

130190815594161 is the 11410119-th square number.

130190815594161 is the 5705060-th centered octagonal number.

It is an amenable number.

130190815594161 is a deficient number, since it is larger than the sum of its proper divisors (100306815171210).

130190815594161 is an frugal number, since it uses more digits than its factorization.

130190815594161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 54.

The spelling of 130190815594161 in words is "one hundred thirty trillion, one hundred ninety billion, eight hundred fifteen million, five hundred ninety-four thousand, one hundred sixty-one".