85145508 has 144 divisors (see below), whose sum is σ = 259983360. Its totient is φ = 22982400.

The previous prime is 85145497. The next prime is 85145509. The reversal of 85145508 is 80554158.

85145508 is a `hidden beast` number, since 8 + 5 + 145 + 508 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85145509) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 445693 + ... + 445883.

It is an arithmetic number, because the mean of its divisors is an integer number (1805440).

Almost surely, 2^85145508 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 85145508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

85145508 is an abundant number, since it is smaller than the sum of its proper divisors (174837852).

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

85145508 is a wasteful number, since it uses less digits than its factorization.

85145508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 85145508 is about 9227.4323622555. The cubic root of 85145508 is about 439.9337159104.

The spelling of 85145508 in words is "eighty-five million, one hundred forty-five thousand, five hundred eight".