180285120 has 168 divisors, whose sum is σ = 631210320. Its totient is φ = 47216640.

The previous prime is 180285113. The next prime is 180285151. The reversal of 180285120 is 21582081.

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, 169390 + ... + 170450.

Almost surely, 2^180285120 is an apocalyptic number.

180285120 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 180285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315605160).

180285120 is an abundant number, since it is smaller than the sum of its proper divisors (450925200).

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

180285120 is a wasteful number, since it uses less digits than its factorization.

180285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 180285120 is about 13427.0294555423. The cubic root of 180285120 is about 564.9195802735.

The spelling of 180285120 in words is "one hundred eighty million, two hundred eighty-five thousand, one hundred twenty".