It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 008 is not a prime number.
For example, 138 008 can be divided by 2: 138 008 / 2 = 69 004.
For 138 008 to be a prime number, it would have been required that 138 008 has only two divisors, i.e., itself and 1.
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138 008 is an even number, because it is evenly divisible by 2: 138 008 / 2 = 69 004.
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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 138 008 is about 371.494.
Thus, the square root of 138 008 is not an integer, and therefore 138 008 is not a square number.
The square of a number (here 138 008) is the result of the product of this number (138 008) by itself (i.e., 138 008 × 138 008); the square of 138 008 is sometimes called "raising 138 008 to the power 2", or "138 008 squared".
The square of 138 008 is 19 046 208 064 because 138 008 × 138 008 = 138 0082 = 19 046 208 064.
As a consequence, 138 008 is the square root of 19 046 208 064.
The multiples of 138 008 are all integers evenly divisible by 138 008, that is all numbers such that the remainder of the division by 138 008 is zero. There are infinitely many multiples of 138 008. The smallest multiples of 138 008 are: