123144 has 32 divisors (see below), whose sum is σ = 352320. Its totient is φ = 35136.

The previous prime is 123143. The next prime is 123169. The reversal of 123144 is 441321.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 123144.

It is not an unprimeable number, because it can be changed into a prime (123143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199 + ... + 534.

It is an arithmetic number, because the mean of its divisors is an integer number (11010).

2¹²³¹⁴⁴ is an apocalyptic number.

123144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

123144 is an abundant number, since it is smaller than the sum of its proper divisors (229176).

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

123144 is a wasteful number, since it uses less digits than its factorization.

123144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 745 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 123144 is about 350.9187940251. The cubic root of 123144 is about 49.7512983340.

Adding to 123144 its reverse (441321), we get a palindrome (564465).

It can be divided in two parts, 1231 and 44, that added together give a triangular number (1275 = T₅₀).

The spelling of 123144 in words is "one hundred twenty-three thousand, one hundred forty-four", and thus it is an iban number.