181200 has 60 divisors (see below), whose sum is σ = 584288. Its totient is φ = 48000.

The previous prime is 181199. The next prime is 181201. The reversal of 181200 is 2181.

It is a happy number.

181200 is nontrivially palindromic in base 9.

It is an interprime number because it is at equal distance from previous prime (181199) and next prime (181201).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1125 + ... + 1275.

2¹⁸¹²⁰⁰ is an apocalyptic number.

181200 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 181200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292144).

181200 is an abundant number, since it is smaller than the sum of its proper divisors (403088).

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

181200 is a wasteful number, since it uses less digits than its factorization.

181200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 181200 is about 425.6759330759. The cubic root of 181200 is about 56.5873554060.

181200 divided by its product of nonzero digits (16) gives a triangular number (11325 = T₁₅₀).

Adding to 181200 its reverse (2181), we get a palindrome (183381).

The spelling of 181200 in words is "one hundred eighty-one thousand, two hundred".