It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 004 is not a prime number.
For example, 138 004 can be divided by 2: 138 004 / 2 = 69 002.
For 138 004 to be a prime number, it would have been required that 138 004 has only two divisors, i.e., itself and 1.
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138 004 is an even number, because it is evenly divisible by 2: 138 004 / 2 = 69 002.
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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 138 004 is about 371.489.
Thus, the square root of 138 004 is not an integer, and therefore 138 004 is not a square number.
The square of a number (here 138 004) is the result of the product of this number (138 004) by itself (i.e., 138 004 × 138 004); the square of 138 004 is sometimes called "raising 138 004 to the power 2", or "138 004 squared".
The square of 138 004 is 19 045 104 016 because 138 004 × 138 004 = 138 0042 = 19 045 104 016.
As a consequence, 138 004 is the square root of 19 045 104 016.
The multiples of 138 004 are all integers evenly divisible by 138 004, that is all numbers such that the remainder of the division by 138 004 is zero. There are infinitely many multiples of 138 004. The smallest multiples of 138 004 are: