138147648 has 112 divisors (see below), whose sum is σ = 387583680. Its totient is φ = 43352064.

The previous prime is 138147643. The next prime is 138147673. The reversal of 138147648 is 846741831.

138147648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138147643) 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, 239136 + ... + 239712.

Almost surely, 2^138147648 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 138147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193791840).

138147648 is an abundant number, since it is smaller than the sum of its proper divisors (249436032).

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

138147648 is a wasteful number, since it uses less digits than its factorization.

138147648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 654 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 138147648 is about 11753.6227606640. The cubic root of 138147648 is about 516.9491573925.

The spelling of 138147648 in words is "one hundred thirty-eight million, one hundred forty-seven thousand, six hundred forty-eight".