138048528 has 80 divisors (see below), whose sum is σ = 377604800. Its totient is φ = 43338240.

The previous prime is 138048527. The next prime is 138048529. The reversal of 138048528 is 825840831.

It is an interprime number because it is at equal distance from previous prime (138048527) and next prime (138048529).

It is not an unprimeable number, because it can be changed into a prime (138048527) 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, 208518 + ... + 209178.

It is an arithmetic number, because the mean of its divisors is an integer number (4720060).

Almost surely, 2^138048528 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 138048528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188802400).

138048528 is an abundant number, since it is smaller than the sum of its proper divisors (239556272).

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

138048528 is a wasteful number, since it uses less digits than its factorization.

138048528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 138048528 is about 11749.4054317655. The cubic root of 138048528 is about 516.8254919739.

The spelling of 138048528 in words is "one hundred thirty-eight million, forty-eight thousand, five hundred twenty-eight".