242144 has 48 divisors (see below), whose sum is σ = 580608. Its totient is φ = 97152.

The previous prime is 242129. The next prime is 242147. The reversal of 242144 is 441242.

242144 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242147) 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, 5129 + ... + 5175.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2²⁴²¹⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304).

242144 is an abundant number, since it is smaller than the sum of its proper divisors (338464).

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

242144 is a wasteful number, since it uses less digits than its factorization.

242144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its digits is 256, while the sum is 17.

The square root of 242144 is about 492.0812940968. The cubic root of 242144 is about 62.3291547493.

Adding to 242144 its reverse (441242), we get a palindrome (683386).

The spelling of 242144 in words is "two hundred forty-two thousand, one hundred forty-four", and thus it is an iban number.