It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 516 is not a prime number.
For example, 138 516 can be divided by 2: 138 516 / 2 = 69 258.
For 138 516 to be a prime number, it would have been required that 138 516 has only two divisors, i.e., itself and 1.
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138 516 is an even number, because it is evenly divisible by 2: 138 516 / 2 = 69 258.
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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 138 516 is about 372.177.
Thus, the square root of 138 516 is not an integer, and therefore 138 516 is not a square number.
The square of a number (here 138 516) is the result of the product of this number (138 516) by itself (i.e., 138 516 × 138 516); the square of 138 516 is sometimes called "raising 138 516 to the power 2", or "138 516 squared".
The square of 138 516 is 19 186 682 256 because 138 516 × 138 516 = 138 5162 = 19 186 682 256.
As a consequence, 138 516 is the square root of 19 186 682 256.
The multiples of 138 516 are all integers evenly divisible by 138 516, that is all numbers such that the remainder of the division by 138 516 is zero. There are infinitely many multiples of 138 516. The smallest multiples of 138 516 are: