It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 024 is not a prime number.
For example, 138 024 can be divided by 2: 138 024 / 2 = 69 012.
For 138 024 to be a prime number, it would have been required that 138 024 has only two divisors, i.e., itself and 1.
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138 024 is an even number, because it is evenly divisible by 2: 138 024 / 2 = 69 012.
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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 138 024 is about 371.516.
Thus, the square root of 138 024 is not an integer, and therefore 138 024 is not a square number.
The square of a number (here 138 024) is the result of the product of this number (138 024) by itself (i.e., 138 024 × 138 024); the square of 138 024 is sometimes called "raising 138 024 to the power 2", or "138 024 squared".
The square of 138 024 is 19 050 624 576 because 138 024 × 138 024 = 138 0242 = 19 050 624 576.
As a consequence, 138 024 is the square root of 19 050 624 576.
The multiples of 138 024 are all integers evenly divisible by 138 024, that is all numbers such that the remainder of the division by 138 024 is zero. There are infinitely many multiples of 138 024. The smallest multiples of 138 024 are: