232405133000 has 128 divisors (see below), whose sum is σ = 567835557120. Its totient is φ = 88863385600.

The previous prime is 232405132943. The next prime is 232405133003. The reversal of 232405133000 is 331504232.

232405133000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (232405133003) by changing a digit.

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, 61109099 + ... + 61112901.

It is an arithmetic number, because the mean of its divisors is an integer number (4436215290).

Almost surely, 2^232405133000 is an apocalyptic number.

232405133000 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 232405133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283917778560).

232405133000 is an abundant number, since it is smaller than the sum of its proper divisors (335430424120).

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

232405133000 is a wasteful number, since it uses less digits than its factorization.

232405133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6504 (or 6490 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 232405133000 its reverse (331504232), we get a palindrome (232736637232).

The spelling of 232405133000 in words is "two hundred thirty-two billion, four hundred five million, one hundred thirty-three thousand".