135677085 has 32 divisors (see below), whose sum is σ = 234213120. Its totient is φ = 66812928.

The previous prime is 135677071. The next prime is 135677089. The reversal of 135677085 is 580776531.

It is not a de Polignac number, because 135677085 - 2¹⁰ = 135676061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135677089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8496 + ... + 18534.

It is an arithmetic number, because the mean of its divisors is an integer number (7319160).

Almost surely, 2^135677085 is an apocalyptic number.

135677085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135677085 is a deficient number, since it is larger than the sum of its proper divisors (98536035).

135677085 is a wasteful number, since it uses less digits than its factorization.

135677085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10117.

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 135677085 is about 11648.0506952880. The cubic root of 135677085 is about 513.8489831242.

The spelling of 135677085 in words is "one hundred thirty-five million, six hundred seventy-seven thousand, eighty-five".