It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 427 is not a prime number.
For example, 137 427 can be divided by 3: 137 427 / 3 = 45 809.
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For 137 427 to be a prime number, it would have been required that 137 427 has only two divisors, i.e., itself and 1.
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137 427 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 137 427 is about 370.711.
Thus, the square root of 137 427 is not an integer, and therefore 137 427 is not a square number.
The square of a number (here 137 427) is the result of the product of this number (137 427) by itself (i.e., 137 427 × 137 427); the square of 137 427 is sometimes called "raising 137 427 to the power 2", or "137 427 squared".
The square of 137 427 is 18 886 180 329 because 137 427 × 137 427 = 137 4272 = 18 886 180 329.
As a consequence, 137 427 is the square root of 18 886 180 329.
The multiples of 137 427 are all integers evenly divisible by 137 427, that is all numbers such that the remainder of the division by 137 427 is zero. There are infinitely many multiples of 137 427. The smallest multiples of 137 427 are: