123534432 has 144 divisors (see below), whose sum is σ = 415527840. Its totient is φ = 34062336.

The previous prime is 123534421. The next prime is 123534479. The reversal of 123534432 is 234435321.

123534432 is a `hidden beast` number, since 123 + 534 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 123534396 and 123534405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57408 + ... + 59520.

It is an arithmetic number, because the mean of its divisors is an integer number (2885610).

Almost surely, 2^123534432 is an apocalyptic number.

123534432 is a gapful number since it is divisible by the number (12) 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 123534432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207763920).

123534432 is an abundant number, since it is smaller than the sum of its proper divisors (291993408).

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

123534432 is a wasteful number, since it uses less digits than its factorization.

123534432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2154 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 123534432 is about 11114.6044464029. The cubic root of 123534432 is about 498.0382222562.

Adding to 123534432 its reverse (234435321), we get a palindrome (357969753).

The spelling of 123534432 in words is "one hundred twenty-three million, five hundred thirty-four thousand, four hundred thirty-two".