138424832 has 80 divisors (see below), whose sum is σ = 340519872. Its totient is φ = 54743040.

The previous prime is 138424813. The next prime is 138424841. The reversal of 138424832 is 238424831.

It is a super-3 number, since 3×138424832³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 138424792 and 138424801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45107 + ... + 48077.

Almost surely, 2^138424832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138424832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170259936).

138424832 is an abundant number, since it is smaller than the sum of its proper divisors (202095040).

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

138424832 is an equidigital number, since it uses as much as digits as its factorization.

138424832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2993 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

The square root of 138424832 is about 11765.4082802086. The cubic root of 138424832 is about 517.2946676975.

Subtracting 138424832 from its reverse (238424831), we obtain a palindrome (99999999).

The spelling of 138424832 in words is "one hundred thirty-eight million, four hundred twenty-four thousand, eight hundred thirty-two".