180853752 has 128 divisors (see below), whose sum is σ = 503193600. Its totient is φ = 53913600.

The previous prime is 180853711. The next prime is 180853759. The reversal of 180853752 is 257358081.

180853752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×180853752² = 65416159224955008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 180853752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180853759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 999102 + ... + 999282.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2^180853752 is an apocalyptic number.

180853752 is a gapful number since it is divisible by the number (12) 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 180853752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251596800).

180853752 is an abundant number, since it is smaller than the sum of its proper divisors (322339848).

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

180853752 is a wasteful number, since it uses less digits than its factorization.

180853752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 313 counting only the distinct ones).

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

The square root of 180853752 is about 13448.1876845916. The cubic root of 180853752 is about 565.5128890141.

The spelling of 180853752 in words is "one hundred eighty million, eight hundred fifty-three thousand, seven hundred fifty-two".