137757169

137,757,169 is a natural number in the decimal system. It is notable for being a perfect square, equal to 11,737 squared (11,737^2 = 137,757,169). It is an even-odd number, ending in 9, and lies in the range around 1.38 × 10^8.

The prime factorization of 137,757,169 is 11^4 × 97^2. Equivalently, since 11^4 × 97^2 = (11^2 × 97)^2, the number is the square of 11^2 × 97, which is 11,737. Thus, the square root of 137,757,169 is 11,737, and the prime factorization of the square root is 11^2 × 97.

Additional mathematical properties include that the sum of its digits is 46, so the number is not divisible by 3. It is divisible by 11, in fact by 11 four times, reflecting its factorization. As a square, its divisors are symmetric around its square root, and every divisor pairs with its complement to yield 137,757,169.

Context and usage: there is no widely known historical or scientific significance attached to this specific number beyond its arithmetic properties. It serves as a concrete example in number theory of a fairly large perfect square with a simple, well-structured prime factorization.