238144 has 21 divisors (see below), whose sum is σ = 480441. Its totient is φ = 117120.

The previous prime is 238141. The next prime is 238151. The reversal of 238144 is 441832.

238144 = T₄₈₇ + T₄₈₈.

The square root of 238144 is 488.

It is a perfect power (a square), and thus also a powerful number.

238144 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in only one way, i.e., 7744 + 230400 = 88^2 + 480^2 .

It is a Duffinian number.

It is a nialpdrome in base 8.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (238141) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3874 + ... + 3934.

238144 is a Friedman number, since it can be written as (484+3+1)^2, using all its digits and the basic arithmetic operations.

2²³⁸¹⁴⁴ is an apocalyptic number.

238144 is the 488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238144

238144 is an abundant number, since it is smaller than the sum of its proper divisors (242297).

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

238144 is an frugal number, since it uses more digits than its factorization.

238144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 63 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The cubic root of 238144 is about 61.9840402903.

Adding to 238144 its reverse (441832), we get a palindrome (679976).

The spelling of 238144 in words is "two hundred thirty-eight thousand, one hundred forty-four".