It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 464 is not a prime number.
For example, 137 464 can be divided by 2: 137 464 / 2 = 68 732.
For 137 464 to be a prime number, it would have been required that 137 464 has only two divisors, i.e., itself and 1.
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137 464 is an even number, because it is evenly divisible by 2: 137 464 / 2 = 68 732.
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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 137 464 is about 370.761.
Thus, the square root of 137 464 is not an integer, and therefore 137 464 is not a square number.
The square of a number (here 137 464) is the result of the product of this number (137 464) by itself (i.e., 137 464 × 137 464); the square of 137 464 is sometimes called "raising 137 464 to the power 2", or "137 464 squared".
The square of 137 464 is 18 896 351 296 because 137 464 × 137 464 = 137 4642 = 18 896 351 296.
As a consequence, 137 464 is the square root of 18 896 351 296.
The multiples of 137 464 are all integers evenly divisible by 137 464, that is all numbers such that the remainder of the division by 137 464 is zero. There are infinitely many multiples of 137 464. The smallest multiples of 137 464 are: