138206432 has 96 divisors (see below), whose sum is σ = 345913344. Its totient is φ = 52876800.

The previous prime is 138206423. The next prime is 138206459. The reversal of 138206432 is 234602831.

138206432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 138206395 and 138206404.

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 15 ways as a sum of consecutive naturals, for example, 89507 + ... + 91037.

It is an arithmetic number, because the mean of its divisors is an integer number (3603264).

Almost surely, 2^138206432 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 138206432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172956672).

138206432 is an abundant number, since it is smaller than the sum of its proper divisors (207706912).

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

138206432 is a wasteful number, since it uses less digits than its factorization.

138206432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 138206432 is about 11756.1231705014. The cubic root of 138206432 is about 517.0224703309.

The spelling of 138206432 in words is "one hundred thirty-eight million, two hundred six thousand, four hundred thirty-two".