112144 has 20 divisors (see below), whose sum is σ = 223696. Its totient is φ = 54432.

The previous prime is 112139. The next prime is 112153. The reversal of 112144 is 441211.

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

112144 is a modest number, since divided by 144 gives 112 as remainder.

It is an unprimeable 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 3 ways as a sum of consecutive naturals, for example, 607 + ... + 769.

2¹¹²¹⁴⁴ is an apocalyptic number.

It is an amenable number.

112144 is a deficient number, since it is larger than the sum of its proper divisors (111552).

112144 is a wasteful number, since it uses less digits than its factorization.

112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its digits is 32, while the sum is 13.

The square root of 112144 is about 334.8790826552. The cubic root of 112144 is about 48.2234947985.

Adding to 112144 its reverse (441211), we get a palindrome (553355).

It can be divided in two parts, 112 and 144, that added together give a 8-th power (256 = 2⁸).

The spelling of 112144 in words is "one hundred twelve thousand, one hundred forty-four", and thus it is an iban number.