132768

132,768 is a natural number that follows 132,767 and precedes 132,769. It is an even and composite integer, with a prime factorization of 2^5 × 3^2 × 461. Because of this factorization, the number has 36 positive divisors. It is divisible by 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, and by 461; in particular, 132,768 = 461 × 288, illustrating a convenient product form.

The digit sum of 132,768 is 27, which makes the number divisible by 9 but not by 27. Indeed 132,768 ÷ 9 = 14,752, while 132,768 ÷ 27 is not an integer. The presence of the prime factor 461 means the number has a relatively large prime factor for a six-figure integer.

In alternative representations, 132,768 is written in hexadecimal as 0x206A0. This reflects its composition as 32 × 9 × 461, since 0x206A0 equals 2 × 16^4 + 0 × 16^3 + 6 × 16^2 + 10 × 16 + 0, which equals 132,768.

Applications or occurrences of the exact value may arise in combinatorial counts, modular arithmetic examples, or as a sample in number theory demonstrations. As a six-digit composite with a relatively large prime factor, 132,768 serves as a representative case for illustrating divisor structure and factorization.