282138000 has 160 divisors (see below), whose sum is σ = 926190720. Its totient is φ = 73868800.

The previous prime is 282137971. The next prime is 282138023. The reversal of 282138000 is 831282.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353602 + ... + 354398.

It is an arithmetic number, because the mean of its divisors is an integer number (5788692).

Almost surely, 2^282138000 is an apocalyptic number.

282138000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463095360).

282138000 is an abundant number, since it is smaller than the sum of its proper divisors (644052720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

282138000 is a wasteful number, since it uses less digits than its factorization.

282138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 282138000 is about 16796.9640113921. The cubic root of 282138000 is about 655.8741702936.

Adding to 282138000 its reverse (831282), we get a palindrome (282969282).

The spelling of 282138000 in words is "two hundred eighty-two million, one hundred thirty-eight thousand".