It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 149 is not a prime number.
For example, 137 149 can be divided by 23: 137 149 / 23 = 5 963.
For 137 149 to be a prime number, it would have been required that 137 149 has only two divisors, i.e., itself and 1.
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137 149 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 137 149 is about 370.336.
Thus, the square root of 137 149 is not an integer, and therefore 137 149 is not a square number.
The square of a number (here 137 149) is the result of the product of this number (137 149) by itself (i.e., 137 149 × 137 149); the square of 137 149 is sometimes called "raising 137 149 to the power 2", or "137 149 squared".
The square of 137 149 is 18 809 848 201 because 137 149 × 137 149 = 137 1492 = 18 809 848 201.
As a consequence, 137 149 is the square root of 18 809 848 201.
The multiples of 137 149 are all integers evenly divisible by 137 149, that is all numbers such that the remainder of the division by 137 149 is zero. There are infinitely many multiples of 137 149. The smallest multiples of 137 149 are: