180189120 has 224 divisors, whose sum is σ = 619085376. Its totient is φ = 44236800.

The previous prime is 180189109. The next prime is 180189161. The reversal of 180189120 is 21981081.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995430 + ... + 995610.

It is an arithmetic number, because the mean of its divisors is an integer number (2763774).

Almost surely, 2^180189120 is an apocalyptic number.

180189120 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 180189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309542688).

180189120 is an abundant number, since it is smaller than the sum of its proper divisors (438896256).

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

180189120 is a wasteful number, since it uses less digits than its factorization.

180189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 180189120 is about 13423.4541009384. The cubic root of 180189120 is about 564.8192911525.

The spelling of 180189120 in words is "one hundred eighty million, one hundred eighty-nine thousand, one hundred twenty".