138102048 has 144 divisors (see below), whose sum is σ = 456595776. Its totient is φ = 38776320.

The previous prime is 138102043. The next prime is 138102049. The reversal of 138102048 is 840201831.

138102048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138102043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122415 + ... + 123537.

It is an arithmetic number, because the mean of its divisors is an integer number (3170804).

Almost surely, 2^138102048 is an apocalyptic number.

138102048 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 138102048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228297888).

138102048 is an abundant number, since it is smaller than the sum of its proper divisors (318493728).

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

138102048 is a wasteful number, since it uses less digits than its factorization.

138102048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 138102048 is about 11751.6827731181. The cubic root of 138102048 is about 516.8922726607.

Adding to 138102048 its reverse (840201831), we get a palindrome (978303879).

The spelling of 138102048 in words is "one hundred thirty-eight million, one hundred two thousand, forty-eight".