130641765136 has 45 divisors (see below), whose sum is σ = 255770440191. Its totient is φ = 64643536512.

The previous prime is 130641765119. The next prime is 130641765167. The reversal of 130641765136 is 631567146031.

It is a happy number.

The square root of 130641765136 is 361444.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9871614736 + 120770150400 = 99356^2 + 347520^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130641765092 and 130641765101.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 157589170 + ... + 157589998.

Almost surely, 2^130641765136 is an apocalyptic number.

130641765136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

130641765136 is the 361444-th square number.

It is an amenable number.

130641765136 is a deficient number, since it is larger than the sum of its proper divisors (125128675055).

130641765136 is an frugal number, since it uses more digits than its factorization.

130641765136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 130641765136 in words is "one hundred thirty billion, six hundred forty-one million, seven hundred sixty-five thousand, one hundred thirty-six".