2133142200 has 288 divisors, whose sum is σ = 8294707200. Its totient is φ = 481178880.

The previous prime is 2133142189. The next prime is 2133142213. The reversal of 2133142200 is 22413312.

2133142200 is a `hidden beast` number, since 213 + 31 + 422 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 994329 + ... + 996471.

Almost surely, 2^2133142200 is an apocalyptic number.

2133142200 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 2133142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147353600).

2133142200 is an abundant number, since it is smaller than the sum of its proper divisors (6161565000).

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

2133142200 is a wasteful number, since it uses less digits than its factorization.

2133142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2133142200 is about 46185.9524097966. The cubic root of 2133142200 is about 1287.2807330751.

Adding to 2133142200 its reverse (22413312), we get a palindrome (2155555512).

It can be divided in two parts, 213 and 3142200, that added together give a palindrome (3142413).

The spelling of 2133142200 in words is "two billion, one hundred thirty-three million, one hundred forty-two thousand, two hundred".