It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 022 is not a prime number.
For example, 138 022 can be divided by 2: 138 022 / 2 = 69 011.
For 138 022 to be a prime number, it would have been required that 138 022 has only two divisors, i.e., itself and 1.
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138 022 is an even number, because it is evenly divisible by 2: 138 022 / 2 = 69 011.
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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 138 022 is about 371.513.
Thus, the square root of 138 022 is not an integer, and therefore 138 022 is not a square number.
The square of a number (here 138 022) is the result of the product of this number (138 022) by itself (i.e., 138 022 × 138 022); the square of 138 022 is sometimes called "raising 138 022 to the power 2", or "138 022 squared".
The square of 138 022 is 19 050 072 484 because 138 022 × 138 022 = 138 0222 = 19 050 072 484.
As a consequence, 138 022 is the square root of 19 050 072 484.
The multiples of 138 022 are all integers evenly divisible by 138 022, that is all numbers such that the remainder of the division by 138 022 is zero. There are infinitely many multiples of 138 022. The smallest multiples of 138 022 are: