145170

145170 is a natural number that follows 145169 and precedes 145171. In mathematics, it is an even, composite integer with several notable arithmetic properties.

Its prime factorization is 2 × 3^2 × 5 × 1613, where 1613 is a prime number. Consequently, 145170 has 24 positive divisors. The divisor structure implies a range of divisibility by small integers: it is divisible by 2, 3, 5, 6, 9, 10, 15, 18, 30, and other combinations derived from the prime factors.

Sum of divisors analysis shows that 145170 is an abundant number. The sum of all positive divisors of 145170 is 377,676, so the sum of its proper divisors is 232,506, which exceeds the number itself. This places 145170 among integers that have a proper divisors sum greater than the number, a feature of abundant numbers.

In base 10, 145170 is a Harshad (or Niven) number because it is divisible by the sum of its digits. The digit sum is 1 + 4 + 5 + 1 + 7 + 0 = 18, and 145170 ÷ 18 = 8065.

There is no widely recognized special name or widely cited historical significance attached to 145170 beyond its known numerical properties. It is primarily of interest within number theory as an example of an even, abundant, Harshad composite with a particular prime factorization.