It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 741 is not a prime number.
For example, 137 741 can be divided by 181: 137 741 / 181 = 761.
For 137 741 to be a prime number, it would have been required that 137 741 has only two divisors, i.e., itself and 1.
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137 741 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 137 741 is about 371.135.
Thus, the square root of 137 741 is not an integer, and therefore 137 741 is not a square number.
The square of a number (here 137 741) is the result of the product of this number (137 741) by itself (i.e., 137 741 × 137 741); the square of 137 741 is sometimes called "raising 137 741 to the power 2", or "137 741 squared".
The square of 137 741 is 18 972 583 081 because 137 741 × 137 741 = 137 7412 = 18 972 583 081.
As a consequence, 137 741 is the square root of 18 972 583 081.
The multiples of 137 741 are all integers evenly divisible by 137 741, that is all numbers such that the remainder of the division by 137 741 is zero. There are infinitely many multiples of 137 741. The smallest multiples of 137 741 are: