233200132140 has 96 divisors (see below), whose sum is σ = 682549701120. Its totient is φ = 59378192896.

The previous prime is 233200132111. The next prime is 233200132177. The reversal of 233200132140 is 41231002332.

233200132140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×233200132140² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636727 + ... + 933713.

It is an arithmetic number, because the mean of its divisors is an integer number (7109892720).

Almost surely, 2^233200132140 is an apocalyptic number.

233200132140 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 233200132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341274850560).

233200132140 is an abundant number, since it is smaller than the sum of its proper divisors (449349568980).

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

233200132140 is a wasteful number, since it uses less digits than its factorization.

233200132140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297591 (or 297589 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 233200132140 its reverse (41231002332), we get a palindrome (274431134472).

The spelling of 233200132140 in words is "two hundred thirty-three billion, two hundred million, one hundred thirty-two thousand, one hundred forty".