85109136 has 80 divisors (see below), whose sum is σ = 259411968. Its totient is φ = 23529600.

The previous prime is 85109119. The next prime is 85109159. The reversal of 85109136 is 63190158.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 85109097 and 85109106.

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, 6331 + ... + 14501.

Almost surely, 2^85109136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85109136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129705984).

85109136 is an abundant number, since it is smaller than the sum of its proper divisors (174302832).

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

85109136 is a wasteful number, since it uses less digits than its factorization.

85109136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8220 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 85109136 is about 9225.4612892798. The cubic root of 85109136 is about 439.8710641492.

The spelling of 85109136 in words is "eighty-five million, one hundred nine thousand, one hundred thirty-six".