135879967161 has 81 divisors (see below), whose sum is σ = 215500389039. Its totient is φ = 82488085344.

The previous prime is 135879967133. The next prime is 135879967177. The reversal of 135879967161 is 161769978531.

The square root of 135879967161 is 368619.

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

135879967161 is a `hidden beast` number, since 1 + 358 + 79 + 96 + 71 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71252158761 + 64627808400 = 266931^2 + 254220^2 .

It is not a de Polignac number, because 135879967161 - 2²³ = 135871578553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135879967121) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 609327096 + ... + 609327318.

Almost surely, 2^135879967161 is an apocalyptic number.

135879967161 is the 368619-th square number.

135879967161 is the 184310-th centered octagonal number.

It is an amenable number.

135879967161 is a deficient number, since it is larger than the sum of its proper divisors (79620421878).

135879967161 is an equidigital number, since it uses as much as digits as its factorization.

135879967161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 274 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 63.

The spelling of 135879967161 in words is "one hundred thirty-five billion, eight hundred seventy-nine million, nine hundred sixty-seven thousand, one hundred sixty-one".