135327601161 has 27 divisors (see below), whose sum is σ = 199797275431. Its totient is φ = 88265016384.

The previous prime is 135327601147. The next prime is 135327601177. The reversal of 135327601161 is 161106723531.

The square root of 135327601161 is 367869.

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

135327601161 is a `hidden beast` number, since 1 + 3 + 5 + 32 + 7 + 601 + 16 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65060194761 + 70267406400 = 255069^2 + 265080^2 .

It is not a de Polignac number, because 135327601161 - 2⁷ = 135327601033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135327601141) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51868225 + ... + 51870833.

Almost surely, 2^135327601161 is an apocalyptic number.

135327601161 is the 367869-th square number.

135327601161 is the 183935-th centered octagonal number.

It is an amenable number.

135327601161 is a deficient number, since it is larger than the sum of its proper divisors (64469674270).

135327601161 is an frugal number, since it uses more digits than its factorization.

135327601161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5318 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Multiplying 135327601161 by its sum of digits (36), we get a square (4871793641796 = 2207214²).

The spelling of 135327601161 in words is "one hundred thirty-five billion, three hundred twenty-seven million, six hundred one thousand, one hundred sixty-one".