135437085 has 48 divisors (see below), whose sum is σ = 271365120. Its totient is φ = 61205760.

The previous prime is 135437077. The next prime is 135437089. The reversal of 135437085 is 580734531.

It is not a de Polignac number, because 135437085 - 2³ = 135437077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135437089) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25620 + ... + 30450.

It is an arithmetic number, because the mean of its divisors is an integer number (5653440).

Almost surely, 2^135437085 is an apocalyptic number.

135437085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135437085 is an abundant number, since it is smaller than the sum of its proper divisors (135928035).

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

135437085 is a wasteful number, since it uses less digits than its factorization.

135437085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4938 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 135437085 is about 11637.7439824048. The cubic root of 135437085 is about 513.5458207945.

The spelling of 135437085 in words is "one hundred thirty-five million, four hundred thirty-seven thousand, eighty-five".