It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 991 is not a prime number.
For example, 137 991 can be divided by 3: 137 991 / 3 = 45 997.
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For 137 991 to be a prime number, it would have been required that 137 991 has only two divisors, i.e., itself and 1.
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137 991 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 137 991 is about 371.471.
Thus, the square root of 137 991 is not an integer, and therefore 137 991 is not a square number.
The square of a number (here 137 991) is the result of the product of this number (137 991) by itself (i.e., 137 991 × 137 991); the square of 137 991 is sometimes called "raising 137 991 to the power 2", or "137 991 squared".
The square of 137 991 is 19 041 516 081 because 137 991 × 137 991 = 137 9912 = 19 041 516 081.
As a consequence, 137 991 is the square root of 19 041 516 081.
The multiples of 137 991 are all integers evenly divisible by 137 991, that is all numbers such that the remainder of the division by 137 991 is zero. There are infinitely many multiples of 137 991. The smallest multiples of 137 991 are: