138624432 has 80 divisors (see below), whose sum is σ = 374499840. Its totient is φ = 44142336.

The previous prime is 138624413. The next prime is 138624439. The reversal of 138624432 is 234426831.

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 = 138624393 and 138624402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138624439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96294 + ... + 97722.

It is an arithmetic number, because the mean of its divisors is an integer number (4681248).

Almost surely, 2^138624432 is an apocalyptic number.

138624432 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 138624432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187249920).

138624432 is an abundant number, since it is smaller than the sum of its proper divisors (235875408).

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

138624432 is a wasteful number, since it uses less digits than its factorization.

138624432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1524 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 138624432 is about 11773.8877181668. The cubic root of 138624432 is about 517.5431838686.

The spelling of 138624432 in words is "one hundred thirty-eight million, six hundred twenty-four thousand, four hundred thirty-two".