285138000 has 480 divisors, whose sum is σ = 1190971392. Its totient is φ = 62208000.

The previous prime is 285137989. The next prime is 285138001. The reversal of 285138000 is 831582.

It is a happy number.

285138000 is a `hidden beast` number, since 285 + 1 + 380 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285138001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3905964 + ... + 3906036.

Almost surely, 2^285138000 is an apocalyptic number.

285138000 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 285138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595485696).

285138000 is an abundant number, since it is smaller than the sum of its proper divisors (905833392).

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

285138000 is a wasteful number, since it uses less digits than its factorization.

285138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 285138000 is about 16886.0297287432. The cubic root of 285138000 is about 658.1906365221.

Adding to 285138000 its reverse (831582), we get a palindrome (285969582).

The spelling of 285138000 in words is "two hundred eighty-five million, one hundred thirty-eight thousand".