135577585 has 16 divisors (see below), whose sum is σ = 191136960. Its totient is φ = 91016640.

The previous prime is 135577573. The next prime is 135577609. The reversal of 135577585 is 585775531.

It is not a de Polignac number, because 135577585 - 2⁹ = 135577073 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94095 + ... + 95524.

It is an arithmetic number, because the mean of its divisors is an integer number (11946060).

Almost surely, 2^135577585 is an apocalyptic number.

It is an amenable number.

135577585 is a deficient number, since it is larger than the sum of its proper divisors (55559375).

135577585 is a wasteful number, since it uses less digits than its factorization.

135577585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189648.

The product of its digits is 735000, while the sum is 46.

The square root of 135577585 is about 11643.7788110218. The cubic root of 135577585 is about 513.7233404944.

The spelling of 135577585 in words is "one hundred thirty-five million, five hundred seventy-seven thousand, five hundred eighty-five".