It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 267 is not a prime number.
For example, 137 267 can be divided by 13: 137 267 / 13 = 10 559.
For 137 267 to be a prime number, it would have been required that 137 267 has only two divisors, i.e., itself and 1.
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137 267 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 137 267 is about 370.496.
Thus, the square root of 137 267 is not an integer, and therefore 137 267 is not a square number.
The square of a number (here 137 267) is the result of the product of this number (137 267) by itself (i.e., 137 267 × 137 267); the square of 137 267 is sometimes called "raising 137 267 to the power 2", or "137 267 squared".
The square of 137 267 is 18 842 229 289 because 137 267 × 137 267 = 137 2672 = 18 842 229 289.
As a consequence, 137 267 is the square root of 18 842 229 289.
The multiples of 137 267 are all integers evenly divisible by 137 267, that is all numbers such that the remainder of the division by 137 267 is zero. There are infinitely many multiples of 137 267. The smallest multiples of 137 267 are: