138023424 has 240 divisors, whose sum is σ = 497914560. Its totient is φ = 35758080.

The previous prime is 138023411. The next prime is 138023449. The reversal of 138023424 is 424320831.

138023424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354622 + ... + 355010.

It is an arithmetic number, because the mean of its divisors is an integer number (2074644).

Almost surely, 2^138023424 is an apocalyptic number.

138023424 is a gapful number since it is divisible by the number (14) 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 138023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248957280).

138023424 is an abundant number, since it is smaller than the sum of its proper divisors (359891136).

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

138023424 is a wasteful number, since it uses less digits than its factorization.

138023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 138023424 is about 11748.3370738160. The cubic root of 138023424 is about 516.7941619919.

The spelling of 138023424 in words is "one hundred thirty-eight million, twenty-three thousand, four hundred twenty-four".