132000

132000 is a natural number that lies between 131999 and 132001. In decimal notation it is written as 132000 and can be expressed as 132 × 1000. It is a highly composite number with several small prime factors.

Its prime factorization is 2^5 × 3 × 5^3 × 11. From this factorization, 132000 is divisible by 2, 3, 5, 6, 10, 11, and many other combinations of these primes. It has three trailing zeros, reflecting the presence of 2^3 and 5^3 in its factorization.

132000 has 96 positive divisors. The sum of its positive divisors is 471,744. Its Euler totient value is φ(132000) = 32,000, meaning there are 32,000 integers up to 132000 that are coprime with it. The number is also a Harshad number in base 10, since the sum of its digits (1 + 3 + 2 + 0 + 0 + 0 = 6) divides 132000 exactly (132000 ÷ 6 = 22,000).

Representations and relations include 132000 = 132 × 1000 and 132000 = 11 × 12,000, as well as the factorizations into powers of small primes. In practical terms, its value is close to 1.32 × 10^5, and as a multiple of 1000 it commonly appears in financial and logistical figures as a round-number quantity.

In summary, 132000 is an even, highly composite integer with a rich set of arithmetic properties derived from its factorization and divisibility traits.