It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 136 is not a prime number.
For example, 137 136 can be divided by 2: 137 136 / 2 = 68 568.
For 137 136 to be a prime number, it would have been required that 137 136 has only two divisors, i.e., itself and 1.
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137 136 is an even number, because it is evenly divisible by 2: 137 136 / 2 = 68 568.
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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 137 136 is about 370.319.
Thus, the square root of 137 136 is not an integer, and therefore 137 136 is not a square number.
The square of a number (here 137 136) is the result of the product of this number (137 136) by itself (i.e., 137 136 × 137 136); the square of 137 136 is sometimes called "raising 137 136 to the power 2", or "137 136 squared".
The square of 137 136 is 18 806 282 496 because 137 136 × 137 136 = 137 1362 = 18 806 282 496.
As a consequence, 137 136 is the square root of 18 806 282 496.
The multiples of 137 136 are all integers evenly divisible by 137 136, that is all numbers such that the remainder of the division by 137 136 is zero. There are infinitely many multiples of 137 136. The smallest multiples of 137 136 are: