181146 has 32 divisors (see below), whose sum is σ = 437760. Its totient is φ = 48816.

The previous prime is 181141. The next prime is 181157. The reversal of 181146 is 641181.

181146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 181146.

It is not an unprimeable number, because it can be changed into a prime (181141) by changing a digit.

181146 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 15 ways as a sum of consecutive naturals, for example, 685 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2¹⁸¹¹⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218880).

181146 is an abundant number, since it is smaller than the sum of its proper divisors (256614).

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

181146 is a wasteful number, since it uses less digits than its factorization.

181146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258.

The product of its digits is 192, while the sum is 21.

The square root of 181146 is about 425.6124998164. The cubic root of 181146 is about 56.5817335870.

The spelling of 181146 in words is "one hundred eighty-one thousand, one hundred forty-six".