It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 338 is not a prime number.
For example, 138 338 can be divided by 2: 138 338 / 2 = 69 169.
For 138 338 to be a prime number, it would have been required that 138 338 has only two divisors, i.e., itself and 1.
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138 338 is an even number, because it is evenly divisible by 2: 138 338 / 2 = 69 169.
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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 138 338 is about 371.938.
Thus, the square root of 138 338 is not an integer, and therefore 138 338 is not a square number.
The square of a number (here 138 338) is the result of the product of this number (138 338) by itself (i.e., 138 338 × 138 338); the square of 138 338 is sometimes called "raising 138 338 to the power 2", or "138 338 squared".
The square of 138 338 is 19 137 402 244 because 138 338 × 138 338 = 138 3382 = 19 137 402 244.
As a consequence, 138 338 is the square root of 19 137 402 244.
The multiples of 138 338 are all integers evenly divisible by 138 338, that is all numbers such that the remainder of the division by 138 338 is zero. There are infinitely many multiples of 138 338. The smallest multiples of 138 338 are: