It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 342 is not a prime number.
For example, 137 342 can be divided by 2: 137 342 / 2 = 68 671.
For 137 342 to be a prime number, it would have been required that 137 342 has only two divisors, i.e., itself and 1.
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137 342 is an even number, because it is evenly divisible by 2: 137 342 / 2 = 68 671.
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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 137 342 is about 370.597.
Thus, the square root of 137 342 is not an integer, and therefore 137 342 is not a square number.
The square of a number (here 137 342) is the result of the product of this number (137 342) by itself (i.e., 137 342 × 137 342); the square of 137 342 is sometimes called "raising 137 342 to the power 2", or "137 342 squared".
The square of 137 342 is 18 862 824 964 because 137 342 × 137 342 = 137 3422 = 18 862 824 964.
As a consequence, 137 342 is the square root of 18 862 824 964.
The multiples of 137 342 are all integers evenly divisible by 137 342, that is all numbers such that the remainder of the division by 137 342 is zero. There are infinitely many multiples of 137 342. The smallest multiples of 137 342 are: