182985120 has 144 divisors (see below), whose sum is σ = 632372832. Its totient is φ = 48176640.

The previous prime is 182985113. The next prime is 182985149. The reversal of 182985120 is 21589281.

182985120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118755 + ... + 120285.

It is an arithmetic number, because the mean of its divisors is an integer number (4391478).

Almost surely, 2^182985120 is an apocalyptic number.

182985120 is a gapful number since it is divisible by the number (10) 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 182985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316186416).

182985120 is an abundant number, since it is smaller than the sum of its proper divisors (449387712).

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

182985120 is a wasteful number, since it uses less digits than its factorization.

182985120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 182985120 is about 13527.1992666627. The cubic root of 182985120 is about 567.7257487109.

The spelling of 182985120 in words is "one hundred eighty-two million, nine hundred eighty-five thousand, one hundred twenty".