181152 has 72 divisors (see below), whose sum is σ = 560196. Its totient is φ = 55296.

The previous prime is 181141. The next prime is 181157. The reversal of 181152 is 251181.

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 24336 = 396^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (181157) by changing a digit.

181152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4878 + ... + 4914.

2¹⁸¹¹⁵² is an apocalyptic number.

181152 is a gapful number since it is divisible by the number (12) 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 181152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280098).

181152 is an abundant number, since it is smaller than the sum of its proper divisors (379044).

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

181152 is a wasteful number, since it uses less digits than its factorization.

181152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 59 counting only the distinct ones).

The product of its digits is 80, while the sum is 18.

The square root of 181152 is about 425.6195484232. The cubic root of 181152 is about 56.5823582888.

It can be divided in two parts, 181 and 152, that added together give a palindrome (333).

The spelling of 181152 in words is "one hundred eighty-one thousand, one hundred fifty-two".