85137528 has 64 divisors (see below), whose sum is σ = 243936000. Its totient is φ = 24256512.

The previous prime is 85137527. The next prime is 85137541. The reversal of 85137528 is 82573158.

It is a Cunningham number, because it is equal to 9227²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85137527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110328 + ... + 111096.

It is an arithmetic number, because the mean of its divisors is an integer number (3811500).

Almost surely, 2^85137528 is an apocalyptic number.

It is an amenable number.

85137528 is an abundant number, since it is smaller than the sum of its proper divisors (158798472).

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

85137528 is a wasteful number, since it uses less digits than its factorization.

85137528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1440 counting only the distinct ones).

The product of its digits is 67200, while the sum is 39.

The square root of 85137528 is about 9226.9999458112. Note that the first 4 decimals coincide. The cubic root of 85137528 is about 439.9199716710.

The spelling of 85137528 in words is "eighty-five million, one hundred thirty-seven thousand, five hundred twenty-eight".