It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 243 is not a prime number.
For example, 137 243 can be divided by 71: 137 243 / 71 = 1 933.
For 137 243 to be a prime number, it would have been required that 137 243 has only two divisors, i.e., itself and 1.
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137 243 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 137 243 is about 370.463.
Thus, the square root of 137 243 is not an integer, and therefore 137 243 is not a square number.
The square of a number (here 137 243) is the result of the product of this number (137 243) by itself (i.e., 137 243 × 137 243); the square of 137 243 is sometimes called "raising 137 243 to the power 2", or "137 243 squared".
The square of 137 243 is 18 835 641 049 because 137 243 × 137 243 = 137 2432 = 18 835 641 049.
As a consequence, 137 243 is the square root of 18 835 641 049.
The multiples of 137 243 are all integers evenly divisible by 137 243, that is all numbers such that the remainder of the division by 137 243 is zero. There are infinitely many multiples of 137 243. The smallest multiples of 137 243 are: