152853936 has 80 divisors (see below), whose sum is σ = 440150400. Its totient is φ = 45425664.

The previous prime is 152853907. The next prime is 152853941. The reversal of 152853936 is 639358251.

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 15 ways as a sum of consecutive naturals, for example, 10575 + ... + 20433.

It is an arithmetic number, because the mean of its divisors is an integer number (5501880).

Almost surely, 2^152853936 is an apocalyptic number.

152853936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152853936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220075200).

152853936 is an abundant number, since it is smaller than the sum of its proper divisors (287296464).

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

152853936 is a wasteful number, since it uses less digits than its factorization.

152853936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9906 (or 9900 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 152853936 is about 12363.4111797675. The cubic root of 152853936 is about 534.6778693750.

The spelling of 152853936 in words is "one hundred fifty-two million, eight hundred fifty-three thousand, nine hundred thirty-six".