It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 124 is not a prime number.
For example, 138 124 can be divided by 2: 138 124 / 2 = 69 062.
For 138 124 to be a prime number, it would have been required that 138 124 has only two divisors, i.e., itself and 1.
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138 124 is an even number, because it is evenly divisible by 2: 138 124 / 2 = 69 062.
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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 138 124 is about 371.650.
Thus, the square root of 138 124 is not an integer, and therefore 138 124 is not a square number.
The square of a number (here 138 124) is the result of the product of this number (138 124) by itself (i.e., 138 124 × 138 124); the square of 138 124 is sometimes called "raising 138 124 to the power 2", or "138 124 squared".
The square of 138 124 is 19 078 239 376 because 138 124 × 138 124 = 138 1242 = 19 078 239 376.
As a consequence, 138 124 is the square root of 19 078 239 376.
The multiples of 138 124 are all integers evenly divisible by 138 124, that is all numbers such that the remainder of the division by 138 124 is zero. There are infinitely many multiples of 138 124. The smallest multiples of 138 124 are: