138048768 has 216 divisors, whose sum is σ = 468730080. Its totient is φ = 38522880.

The previous prime is 138048749. The next prime is 138048773. The reversal of 138048768 is 867840831.

138048768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329263 + ... + 329681.

Almost surely, 2^138048768 is an apocalyptic number.

138048768 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 138048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234365040).

138048768 is an abundant number, since it is smaller than the sum of its proper divisors (330681312).

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

138048768 is a wasteful number, since it uses less digits than its factorization.

138048768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 138048768 is about 11749.4156450438. The cubic root of 138048768 is about 516.8257914774.

The spelling of 138048768 in words is "one hundred thirty-eight million, forty-eight thousand, seven hundred sixty-eight".