85137088 has 42 divisors (see below), whose sum is σ = 179505356. Its totient is φ = 40055808.

The previous prime is 85137061. The next prime is 85137103. The reversal of 85137088 is 88073158.

It is a self number, because there is not a number n which added to its sum of digits gives 85137088.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16195 + ... + 20797.

Almost surely, 2^85137088 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 85137088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89752678).

85137088 is an abundant number, since it is smaller than the sum of its proper divisors (94368268).

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

85137088 is a wasteful number, since it uses less digits than its factorization.

85137088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4649 (or 4622 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 85137088 is about 9226.9761027110. The cubic root of 85137088 is about 439.9192138183.

The spelling of 85137088 in words is "eighty-five million, one hundred thirty-seven thousand, eighty-eight".