It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 216 is not a prime number.
For example, 138 216 can be divided by 2: 138 216 / 2 = 69 108.
For 138 216 to be a prime number, it would have been required that 138 216 has only two divisors, i.e., itself and 1.
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138 216 is an even number, because it is evenly divisible by 2: 138 216 / 2 = 69 108.
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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 138 216 is about 371.774.
Thus, the square root of 138 216 is not an integer, and therefore 138 216 is not a square number.
The square of a number (here 138 216) is the result of the product of this number (138 216) by itself (i.e., 138 216 × 138 216); the square of 138 216 is sometimes called "raising 138 216 to the power 2", or "138 216 squared".
The square of 138 216 is 19 103 662 656 because 138 216 × 138 216 = 138 2162 = 19 103 662 656.
As a consequence, 138 216 is the square root of 19 103 662 656.
The multiples of 138 216 are all integers evenly divisible by 138 216, that is all numbers such that the remainder of the division by 138 216 is zero. There are infinitely many multiples of 138 216. The smallest multiples of 138 216 are: