It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 504 is not a prime number.
For example, 138 504 can be divided by 2: 138 504 / 2 = 69 252.
For 138 504 to be a prime number, it would have been required that 138 504 has only two divisors, i.e., itself and 1.
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138 504 is an even number, because it is evenly divisible by 2: 138 504 / 2 = 69 252.
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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 138 504 is about 372.161.
Thus, the square root of 138 504 is not an integer, and therefore 138 504 is not a square number.
The square of a number (here 138 504) is the result of the product of this number (138 504) by itself (i.e., 138 504 × 138 504); the square of 138 504 is sometimes called "raising 138 504 to the power 2", or "138 504 squared".
The square of 138 504 is 19 183 358 016 because 138 504 × 138 504 = 138 5042 = 19 183 358 016.
As a consequence, 138 504 is the square root of 19 183 358 016.
The multiples of 138 504 are all integers evenly divisible by 138 504, that is all numbers such that the remainder of the division by 138 504 is zero. There are infinitely many multiples of 138 504. The smallest multiples of 138 504 are: