180082112 has 112 divisors (see below), whose sum is σ = 430133760. Its totient is φ = 73178112.

The previous prime is 180082099. The next prime is 180082117. The reversal of 180082112 is 211280081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×180082112³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180082117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078253 + ... + 1078419.

It is an arithmetic number, because the mean of its divisors is an integer number (3840480).

Almost surely, 2^180082112 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 180082112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215066880).

180082112 is an abundant number, since it is smaller than the sum of its proper divisors (250051648).

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

180082112 is a wasteful number, since it uses less digits than its factorization.

180082112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The square root of 180082112 is about 13419.4676496499. The cubic root of 180082112 is about 564.7074602216.

The spelling of 180082112 in words is "one hundred eighty million, eighty-two thousand, one hundred twelve".