135185085 has 32 divisors (see below), whose sum is σ = 274663680. Its totient is φ = 61798464.

The previous prime is 135185069. The next prime is 135185093. The reversal of 135185085 is 580581531.

135185085 is a `hidden beast` number, since 13 + 518 + 50 + 85 = 666.

It is not a de Polignac number, because 135185085 - 2⁴ = 135185069 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70582 + ... + 72471.

It is an arithmetic number, because the mean of its divisors is an integer number (8583240).

Almost surely, 2^135185085 is an apocalyptic number.

135185085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135185085 is an abundant number, since it is smaller than the sum of its proper divisors (139478595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135185085 is a wasteful number, since it uses less digits than its factorization.

135185085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143074 (or 143068 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The square root of 135185085 is about 11626.9121008116. The cubic root of 135185085 is about 513.2271146488.

It can be divided in two parts, 1351 and 85085, that added together give a square (86436 = 294²).

The spelling of 135185085 in words is "one hundred thirty-five million, one hundred eighty-five thousand, eighty-five".