It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 708 is not a prime number.
For example, 138 708 can be divided by 2: 138 708 / 2 = 69 354.
For 138 708 to be a prime number, it would have been required that 138 708 has only two divisors, i.e., itself and 1.
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138 708 is an even number, because it is evenly divisible by 2: 138 708 / 2 = 69 354.
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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 138 708 is about 372.435.
Thus, the square root of 138 708 is not an integer, and therefore 138 708 is not a square number.
The square of a number (here 138 708) is the result of the product of this number (138 708) by itself (i.e., 138 708 × 138 708); the square of 138 708 is sometimes called "raising 138 708 to the power 2", or "138 708 squared".
The square of 138 708 is 19 239 909 264 because 138 708 × 138 708 = 138 7082 = 19 239 909 264.
As a consequence, 138 708 is the square root of 19 239 909 264.
The multiples of 138 708 are all integers evenly divisible by 138 708, that is all numbers such that the remainder of the division by 138 708 is zero. There are infinitely many multiples of 138 708. The smallest multiples of 138 708 are: