It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 014 is not a prime number.
For example, 138 014 can be divided by 2: 138 014 / 2 = 69 007.
For 138 014 to be a prime number, it would have been required that 138 014 has only two divisors, i.e., itself and 1.
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138 014 is an even number, because it is evenly divisible by 2: 138 014 / 2 = 69 007.
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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 138 014 is about 371.502.
Thus, the square root of 138 014 is not an integer, and therefore 138 014 is not a square number.
The square of a number (here 138 014) is the result of the product of this number (138 014) by itself (i.e., 138 014 × 138 014); the square of 138 014 is sometimes called "raising 138 014 to the power 2", or "138 014 squared".
The square of 138 014 is 19 047 864 196 because 138 014 × 138 014 = 138 0142 = 19 047 864 196.
As a consequence, 138 014 is the square root of 19 047 864 196.
The multiples of 138 014 are all integers evenly divisible by 138 014, that is all numbers such that the remainder of the division by 138 014 is zero. There are infinitely many multiples of 138 014. The smallest multiples of 138 014 are: