It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 438 is not a prime number.
For example, 138 438 can be divided by 2: 138 438 / 2 = 69 219.
For 138 438 to be a prime number, it would have been required that 138 438 has only two divisors, i.e., itself and 1.
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138 438 is an even number, because it is evenly divisible by 2: 138 438 / 2 = 69 219.
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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 138 438 is about 372.073.
Thus, the square root of 138 438 is not an integer, and therefore 138 438 is not a square number.
The square of a number (here 138 438) is the result of the product of this number (138 438) by itself (i.e., 138 438 × 138 438); the square of 138 438 is sometimes called "raising 138 438 to the power 2", or "138 438 squared".
The square of 138 438 is 19 165 079 844 because 138 438 × 138 438 = 138 4382 = 19 165 079 844.
As a consequence, 138 438 is the square root of 19 165 079 844.
The multiples of 138 438 are all integers evenly divisible by 138 438, that is all numbers such that the remainder of the division by 138 438 is zero. There are infinitely many multiples of 138 438. The smallest multiples of 138 438 are: