181120 has 32 divisors (see below), whose sum is σ = 434520. Its totient is φ = 72192.

The previous prime is 181087. The next prime is 181123. The reversal of 181120 is 21181.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 181120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181123) by changing a digit.

181120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 499 + ... + 781.

2¹⁸¹¹²⁰ is an apocalyptic number.

181120 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 181120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217260).

181120 is an abundant number, since it is smaller than the sum of its proper divisors (253400).

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

181120 is an equidigital number, since it uses as much as digits as its factorization.

181120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 181120 is about 425.5819545047. The cubic root of 181120 is about 56.5790263868.

The spelling of 181120 in words is "one hundred eighty-one thousand, one hundred twenty".