181368 has 48 divisors (see below), whose sum is σ = 538200. Its totient is φ = 54720.

The previous prime is 181361. The next prime is 181387. The reversal of 181368 is 863181.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181361) by changing a digit.

181368 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 11 ways as a sum of consecutive naturals, for example, 678 + ... + 906.

2¹⁸¹³⁶⁸ is an apocalyptic number.

181368 is a gapful number since it is divisible by the number (18) 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 181368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269100).

181368 is an abundant number, since it is smaller than the sum of its proper divisors (356832).

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

181368 is a wasteful number, since it uses less digits than its factorization.

181368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 181368 is about 425.8732205716. The cubic root of 181368 is about 56.6048383699.

It can be divided in two parts, 1813 and 68, that added together give a palindrome (1881).

The spelling of 181368 in words is "one hundred eighty-one thousand, three hundred sixty-eight".