135585786745161 has 81 divisors (see below), whose sum is σ = 209896243919271. Its totient is φ = 84327355620288.

The previous prime is 135585786745159. The next prime is 135585786745177. The reversal of 135585786745161 is 161547687585531.

The square root of 135585786745161 is 11644131.

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

135585786745161 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 8 + 57 + 8 + 67 + 451 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14613945106761 + 120971841638400 = 3822819^2 + 10998720^2 .

It is not a de Polignac number, because 135585786745161 - 2¹ = 135585786745159 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135585786745161.

It is not an unprimeable number, because it can be changed into a prime (135585786745121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 44468934765 + ... + 44468937813.

Almost surely, 2^{135585786745161} is an apocalyptic number.

135585786745161 is the 11644131-st square number.

135585786745161 is the 5822066-th centered octagonal number.

It is an amenable number.

135585786745161 is a deficient number, since it is larger than the sum of its proper divisors (74310457174110).

135585786745161 is an frugal number, since it uses more digits than its factorization.

135585786745161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6276 (or 3138 counting only the distinct ones).

The product of its digits is 846720000, while the sum is 72.

The spelling of 135585786745161 in words is "one hundred thirty-five trillion, five hundred eighty-five billion, seven hundred eighty-six million, seven hundred forty-five thousand, one hundred sixty-one".