845157852 has 144 divisors (see below), whose sum is σ = 2673216000. Its totient is φ = 218724480.

The previous prime is 845157787. The next prime is 845157853. The reversal of 845157852 is 258751548.

845157852 is a `hidden beast` number, since 84 + 515 + 7 + 8 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 845157798 and 845157807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (845157853) 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, 1410649 + ... + 1411247.

It is an arithmetic number, because the mean of its divisors is an integer number (18564000).

Almost surely, 2^845157852 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 845157852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336608000).

845157852 is an abundant number, since it is smaller than the sum of its proper divisors (1828058148).

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

845157852 is a wasteful number, since it uses less digits than its factorization.

845157852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1131 counting only the distinct ones).

The product of its digits is 448000, while the sum is 45.

The square root of 845157852 is about 29071.5987176488. The cubic root of 845157852 is about 945.4660605252.

The spelling of 845157852 in words is "eight hundred forty-five million, one hundred fifty-seven thousand, eight hundred fifty-two".