852659136 has 140 divisors (see below), whose sum is σ = 2888750128. Its totient is φ = 243606528.

The previous prime is 852659107. The next prime is 852659173. The reversal of 852659136 is 631956258.

852659136 is a `hidden beast` number, since 8 + 5 + 26 + 591 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 852659091 and 852659100.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 24540 + ... + 48036.

Almost surely, 2^852659136 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 852659136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444375064).

852659136 is an abundant number, since it is smaller than the sum of its proper divisors (2036090992).

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

852659136 is a wasteful number, since it uses less digits than its factorization.

852659136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23528 (or 23509 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 852659136 is about 29200.3276693944. The cubic root of 852659136 is about 948.2550187178.

The spelling of 852659136 in words is "eight hundred fifty-two million, six hundred fifty-nine thousand, one hundred thirty-six".