165168

165,168 is a natural number that lies between 165,167 and 165,169. It is an even, composite integer with several noteworthy arithmetic properties.

Its prime factorization is 165,168 = 2^4 × 3^2 × 31 × 37. Equivalently, it can be expressed as 165,168 = 144 × 1,147, since 1,147 = 31 × 37. This factorization shows that the number has four distinct prime factors, with 2 and 3 contributing higher powers.

As a consequence of its factorization, 165,168 has 60 positive divisors. The sum of all divisors, denoted sigma(165,168), is 490,048. The Euler totient of 165,168, which counts integers up to n that are relatively prime to n, is phi(165,168) = 51,840.

The number is divisible by 9 and 16, as indicated by its factorization, with 165,168 / 144 = 1,147. In decimal terms, the digit sum is 27, so the number is divisible by 9; the last four binary digits are zero, reflecting the factor of 2^4. The quotient by 144, namely 1,147, is a semiprime (31 × 37), further illustrating the composite structure of 165,168.

In summary, 165,168 is a highly composite-looking integer with prime factorization 2^4 × 3^2 × 31 × 37, offering 60 divisors, a totient of 51,840, and a divisor-sum of 490,048.