It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 144 is not a prime number.
For example, 138 144 can be divided by 2: 138 144 / 2 = 69 072.
For 138 144 to be a prime number, it would have been required that 138 144 has only two divisors, i.e., itself and 1.
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138 144 is an even number, because it is evenly divisible by 2: 138 144 / 2 = 69 072.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 138 144 is about 371.677.
Thus, the square root of 138 144 is not an integer, and therefore 138 144 is not a square number.
The square of a number (here 138 144) is the result of the product of this number (138 144) by itself (i.e., 138 144 × 138 144); the square of 138 144 is sometimes called "raising 138 144 to the power 2", or "138 144 squared".
The square of 138 144 is 19 083 764 736 because 138 144 × 138 144 = 138 1442 = 19 083 764 736.
As a consequence, 138 144 is the square root of 19 083 764 736.
The multiples of 138 144 are all integers evenly divisible by 138 144, that is all numbers such that the remainder of the division by 138 144 is zero. There are infinitely many multiples of 138 144. The smallest multiples of 138 144 are: