It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 023 is not a prime number.
For example, 138 023 can be divided by 17: 138 023 / 17 = 8 119.
For 138 023 to be a prime number, it would have been required that 138 023 has only two divisors, i.e., itself and 1.
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138 023 is an odd number, because it is not evenly divisible by 2.
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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 138 023 is about 371.514.
Thus, the square root of 138 023 is not an integer, and therefore 138 023 is not a square number.
The square of a number (here 138 023) is the result of the product of this number (138 023) by itself (i.e., 138 023 × 138 023); the square of 138 023 is sometimes called "raising 138 023 to the power 2", or "138 023 squared".
The square of 138 023 is 19 050 348 529 because 138 023 × 138 023 = 138 0232 = 19 050 348 529.
As a consequence, 138 023 is the square root of 19 050 348 529.
The multiples of 138 023 are all integers evenly divisible by 138 023, that is all numbers such that the remainder of the division by 138 023 is zero. There are infinitely many multiples of 138 023. The smallest multiples of 138 023 are: