155160

155,160 is a positive integer with several notable arithmetic properties. It is an even, composite number whose prime factorization is 2^3 × 3^2 × 5 × 431. This decomposition shows that 155,160 is divisible by 2, 3, 5, and by combinations such as 9, 18, 36, and 360; in fact, 155,160 equals 360 × 431, highlighting its role as a multiple of a highly composite base.

The total number of divisors of 155,160 is 48, as given by the formula for the divisor count from its prime factorization: (3+1)(2+1)(1+1)(1+1) = 48. The sum of all divisors, σ(155,160), equals 505,440, so the sum of proper divisors is 350,280. Since σ(155,160) > 2 × 155,160, the number is abundant rather than perfect or deficient.

As a base-10 integer, 155,160 is a Harshad (Niven) number, because it is divisible by the sum of its digits (1+5+5+1+6+0 = 18, and 155,160 ÷ 18 = 8,620). It is also a multiple of 360, linking it to the highly composite factor 360, and it can be expressed simply as 360 × 431, with 431 a prime.

In summary, 155,160 is an even, abundant, and highly factorizable integer with 48 divisors and multiple representations derived from its prime components.