135042285361 has 9 divisors (see below), whose sum is σ = 136609748481. Its totient is φ = 133492617984.

The previous prime is 135042285317. The next prime is 135042285379. The reversal of 135042285361 is 163582240531.

The square root of 135042285361 is 367481.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10207262961 + 124835022400 = 101031^2 + 353320^2 .

It is not a de Polignac number, because 135042285361 - 2³³ = 126452350769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135042285461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32703745 + ... + 32707873.

Almost surely, 2^135042285361 is an apocalyptic number.

135042285361 is the 367481-st square number.

135042285361 is the 183741-st centered octagonal number.

It is an amenable number.

135042285361 is a deficient number, since it is larger than the sum of its proper divisors (1567463120).

135042285361 is an frugal number, since it uses more digits than its factorization.

135042285361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8436 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 135042285361 in words is "one hundred thirty-five billion, forty-two million, two hundred eighty-five thousand, three hundred sixty-one".