It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 174 is not a prime number.
For example, 138 174 can be divided by 2: 138 174 / 2 = 69 087.
For 138 174 to be a prime number, it would have been required that 138 174 has only two divisors, i.e., itself and 1.
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138 174 is an even number, because it is evenly divisible by 2: 138 174 / 2 = 69 087.
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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 138 174 is about 371.718.
Thus, the square root of 138 174 is not an integer, and therefore 138 174 is not a square number.
The square of a number (here 138 174) is the result of the product of this number (138 174) by itself (i.e., 138 174 × 138 174); the square of 138 174 is sometimes called "raising 138 174 to the power 2", or "138 174 squared".
The square of 138 174 is 19 092 054 276 because 138 174 × 138 174 = 138 1742 = 19 092 054 276.
As a consequence, 138 174 is the square root of 19 092 054 276.
The multiples of 138 174 are all integers evenly divisible by 138 174, that is all numbers such that the remainder of the division by 138 174 is zero. There are infinitely many multiples of 138 174. The smallest multiples of 138 174 are: