130641765137 has 16 divisors (see below), whose sum is σ = 147043029840. Its totient is φ = 115233656832.

The previous prime is 130641765119. The next prime is 130641765167. The reversal of 130641765137 is 731567146031.

It is a Cunningham number, because it is equal to 361444²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 23869014016 + 106772751121 = 154496^2 + 326761^2 .

It is a cyclic number.

It is not a de Polignac number, because 130641765137 - 2⁶ = 130641765073 is a prime.

It is a super-2 number, since 2×130641765137² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130641765167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1749668 + ... + 1822805.

It is an arithmetic number, because the mean of its divisors is an integer number (9190189365).

Almost surely, 2^130641765137 is an apocalyptic number.

It is an amenable number.

130641765137 is a deficient number, since it is larger than the sum of its proper divisors (16401264703).

130641765137 is a wasteful number, since it uses less digits than its factorization.

130641765137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3572612.

The product of its (nonzero) digits is 317520, while the sum is 44.

The spelling of 130641765137 in words is "one hundred thirty billion, six hundred forty-one million, seven hundred sixty-five thousand, one hundred thirty-seven".