138523024 has 40 divisors (see below), whose sum is σ = 281232000. Its totient is φ = 66009216.

The previous prime is 138523013. The next prime is 138523031. The reversal of 138523024 is 420325831.

It is a junction number, because it is equal to n+sod(n) for n = 138522983 and 138523001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34767 + ... + 38545.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2^138523024 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 138523024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616000).

138523024 is an abundant number, since it is smaller than the sum of its proper divisors (142708976).

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

138523024 is a wasteful number, since it uses less digits than its factorization.

138523024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 138523024 is about 11769.5804513160. The cubic root of 138523024 is about 517.4169535419.

Adding to 138523024 its reverse (420325831), we get a palindrome (558848855).

The spelling of 138523024 in words is "one hundred thirty-eight million, five hundred twenty-three thousand, twenty-four".