It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 187 is not a prime number.
For example, 137 187 can be divided by 3: 137 187 / 3 = 45 729.
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For 137 187 to be a prime number, it would have been required that 137 187 has only two divisors, i.e., itself and 1.
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137 187 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 137 187 is about 370.388.
Thus, the square root of 137 187 is not an integer, and therefore 137 187 is not a square number.
The square of a number (here 137 187) is the result of the product of this number (137 187) by itself (i.e., 137 187 × 137 187); the square of 137 187 is sometimes called "raising 137 187 to the power 2", or "137 187 squared".
The square of 137 187 is 18 820 272 969 because 137 187 × 137 187 = 137 1872 = 18 820 272 969.
As a consequence, 137 187 is the square root of 18 820 272 969.
The multiples of 137 187 are all integers evenly divisible by 137 187, that is all numbers such that the remainder of the division by 137 187 is zero. There are infinitely many multiples of 137 187. The smallest multiples of 137 187 are: