It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 034 is not a prime number.
For example, 137 034 can be divided by 2: 137 034 / 2 = 68 517.
For 137 034 to be a prime number, it would have been required that 137 034 has only two divisors, i.e., itself and 1.
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137 034 is an even number, because it is evenly divisible by 2: 137 034 / 2 = 68 517.
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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 137 034 is about 370.181.
Thus, the square root of 137 034 is not an integer, and therefore 137 034 is not a square number.
The square of a number (here 137 034) is the result of the product of this number (137 034) by itself (i.e., 137 034 × 137 034); the square of 137 034 is sometimes called "raising 137 034 to the power 2", or "137 034 squared".
The square of 137 034 is 18 778 317 156 because 137 034 × 137 034 = 137 0342 = 18 778 317 156.
As a consequence, 137 034 is the square root of 18 778 317 156.
The multiples of 137 034 are all integers evenly divisible by 137 034, that is all numbers such that the remainder of the division by 137 034 is zero. There are infinitely many multiples of 137 034. The smallest multiples of 137 034 are: