It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 243 is not a prime number.
For example, 138 243 can be divided by 3: 138 243 / 3 = 46 081.
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For 138 243 to be a prime number, it would have been required that 138 243 has only two divisors, i.e., itself and 1.
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138 243 is an odd number, because it is not evenly divisible by 2.
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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 138 243 is about 371.810.
Thus, the square root of 138 243 is not an integer, and therefore 138 243 is not a square number.
The square of a number (here 138 243) is the result of the product of this number (138 243) by itself (i.e., 138 243 × 138 243); the square of 138 243 is sometimes called "raising 138 243 to the power 2", or "138 243 squared".
The square of 138 243 is 19 111 127 049 because 138 243 × 138 243 = 138 2432 = 19 111 127 049.
As a consequence, 138 243 is the square root of 19 111 127 049.
The multiples of 138 243 are all integers evenly divisible by 138 243, that is all numbers such that the remainder of the division by 138 243 is zero. There are infinitely many multiples of 138 243. The smallest multiples of 138 243 are: