90144

90144 is a natural number that follows 90143 and precedes 90145. It is an even composite integer with several straightforward divisibility properties.

Prime factorization and divisibility: 90144 = 2^5 × 3^2 × 313, where 313 is a prime number. This decomposition shows that 90144 is divisible by 2, 3, 4, 6, 8, 9, 12, 16, and 32, but not by 64. The highest power of two dividing 90144 is 2^5 (32), so it is not divisible by 2^6.

Digit-sum and related properties: The sum of its decimal digits is 9 + 0 + 1 + 4 + 4 = 18, which means 90144 is divisible by 9 and by 3. In addition, 90144 is a Harshad (Niven) number in base 10 because it is divisible by the sum of its digits (90144 / 18 = 5008).

Divisors: From the prime factorization, the number of positive divisors is (5 + 1) × (2 + 1) × (1 + 1) = 36. Therefore, 90144 has 36 divisors. It is neither a prime nor a perfect square or cube.

Uses and context: As a five-digit decimal integer, 90144 may appear in various numeric labels, catalogs, or data sets. In pure mathematics, it is primarily noted as an example of an even composite number with a small prime-power factorization.