233200132144 has 80 divisors (see below), whose sum is σ = 547226689536. Its totient is φ = 93981312000.

The previous prime is 233200132111. The next prime is 233200132177. The reversal of 233200132144 is 441231002332.

233200132144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233200132111) and next prime (233200132177).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2138299 + ... + 2244709.

Almost surely, 2^233200132144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233200132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273613344768).

233200132144 is an abundant number, since it is smaller than the sum of its proper divisors (314026557392).

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

233200132144 is a wasteful number, since it uses less digits than its factorization.

233200132144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107594 (or 107588 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 233200132144 its reverse (441231002332), we get a palindrome (674431134476).

The spelling of 233200132144 in words is "two hundred thirty-three billion, two hundred million, one hundred thirty-two thousand, one hundred forty-four".