138039048 has 96 divisors (see below), whose sum is σ = 452424960. Its totient is φ = 37117440.

The previous prime is 138039019. The next prime is 138039053. The reversal of 138039048 is 840930831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513 + ... + 16623.

It is an arithmetic number, because the mean of its divisors is an integer number (4712760).

Almost surely, 2^138039048 is an apocalyptic number.

138039048 is a gapful number since it is divisible by the number (18) 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 138039048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226212480).

138039048 is an abundant number, since it is smaller than the sum of its proper divisors (314385912).

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

138039048 is a wasteful number, since it uses less digits than its factorization.

138039048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16147 (or 16140 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 138039048 is about 11749.0020001701. The cubic root of 138039048 is about 516.8136613085.

Adding to 138039048 its reverse (840930831), we get a palindrome (978969879).

The spelling of 138039048 in words is "one hundred thirty-eight million, thirty-nine thousand, forty-eight".