No, because it has the prime factor 3 x 3 x 3 x 5. A prime number contains no prime factors other than itself.
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As a product of its prime factors: 3*3*3*5 = 135
Prime numbers between 135 and 145 are: 137 and 139.
135 is not prime. 135 = 3 * 3 * 3 * 5. A prime number has only 2 factors which are 1 and itself. Composite numbers are everything else except 1 and 0. 1 and 0 are neither prime, nor composite.
3x3x3x5
3x3x3x5 are prime factors of the number 135