234132000 has 192 divisors, whose sum is σ = 778377600. Its totient is φ = 61516800.

The previous prime is 234131987. The next prime is 234132011. The reversal of 234132000 is 231432.

234132000 is digitally balanced in base 3, because in such base 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1307911 + ... + 1308089.

It is an arithmetic number, because the mean of its divisors is an integer number (4054050).

Almost surely, 2^234132000 is an apocalyptic number.

234132000 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 234132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389188800).

234132000 is an abundant number, since it is smaller than the sum of its proper divisors (544245600).

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

234132000 is a wasteful number, since it uses less digits than its factorization.

234132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 234132000 is about 15301.3724874601. The cubic root of 234132000 is about 616.3398641763.

Adding to 234132000 its reverse (231432), we get a palindrome (234363432).

The spelling of 234132000 in words is "two hundred thirty-four million, one hundred thirty-two thousand".