It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 136 137 is not a prime number.
For example, 136 137 can be divided by 3: 136 137 / 3 = 45 379.
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For 136 137 to be a prime number, it would have been required that 136 137 has only two divisors, i.e., itself and 1.
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136 137 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 136 137 is about 368.967.
Thus, the square root of 136 137 is not an integer, and therefore 136 137 is not a square number.
The square of a number (here 136 137) is the result of the product of this number (136 137) by itself (i.e., 136 137 × 136 137); the square of 136 137 is sometimes called "raising 136 137 to the power 2", or "136 137 squared".
The square of 136 137 is 18 533 282 769 because 136 137 × 136 137 = 136 1372 = 18 533 282 769.
As a consequence, 136 137 is the square root of 18 533 282 769.
The multiples of 136 137 are all integers evenly divisible by 136 137, that is all numbers such that the remainder of the division by 136 137 is zero. There are infinitely many multiples of 136 137. The smallest multiples of 136 137 are: