It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 678 is not a prime number.
For example, 138 678 can be divided by 2: 138 678 / 2 = 69 339.
For 138 678 to be a prime number, it would have been required that 138 678 has only two divisors, i.e., itself and 1.
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138 678 is an even number, because it is evenly divisible by 2: 138 678 / 2 = 69 339.
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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 138 678 is about 372.395.
Thus, the square root of 138 678 is not an integer, and therefore 138 678 is not a square number.
The square of a number (here 138 678) is the result of the product of this number (138 678) by itself (i.e., 138 678 × 138 678); the square of 138 678 is sometimes called "raising 138 678 to the power 2", or "138 678 squared".
The square of 138 678 is 19 231 587 684 because 138 678 × 138 678 = 138 6782 = 19 231 587 684.
As a consequence, 138 678 is the square root of 19 231 587 684.
The multiples of 138 678 are all integers evenly divisible by 138 678, that is all numbers such that the remainder of the division by 138 678 is zero. There are infinitely many multiples of 138 678. The smallest multiples of 138 678 are: