130077456165 has 24 divisors (see below), whose sum is σ = 225587096280. Its totient is φ = 69337872384.

The previous prime is 130077456097. The next prime is 130077456181. The reversal of 130077456165 is 561654770031.

130077456165 is a `hidden beast` number, since 1 + 30 + 0 + 7 + 7 + 456 + 165 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53831888289 + 76245567876 = 232017^2 + 276126^2 .

It is not a de Polignac number, because 130077456165 - 2⁸ = 130077455909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 130077456165.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 680112 + ... + 850121.

It is an arithmetic number, because the mean of its divisors is an integer number (9399462345).

Almost surely, 2^130077456165 is an apocalyptic number.

130077456165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130077456165 is a deficient number, since it is larger than the sum of its proper divisors (95509640115).

130077456165 is a wasteful number, since it uses less digits than its factorization.

130077456165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532133 (or 1532130 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 130077456165 in words is "one hundred thirty billion, seventy-seven million, four hundred fifty-six thousand, one hundred sixty-five".