123138432 has 96 divisors (see below), whose sum is σ = 357357000. Its totient is φ = 40697856.

The previous prime is 123138427. The next prime is 123138467. The reversal of 123138432 is 234831321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 123138396 and 123138405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159744 + ... + 160512.

Almost surely, 2^123138432 is an apocalyptic number.

123138432 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 123138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178678500).

123138432 is an abundant number, since it is smaller than the sum of its proper divisors (234218568).

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

123138432 is a wasteful number, since it uses less digits than its factorization.

123138432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 913 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 123138432 is about 11096.7757479369. The cubic root of 123138432 is about 497.5054848179.

Adding to 123138432 its reverse (234831321), we get a palindrome (357969753).

The spelling of 123138432 in words is "one hundred twenty-three million, one hundred thirty-eight thousand, four hundred thirty-two".