138908048832 has 1008 divisors, whose sum is σ = 518502546432. Its totient is φ = 34743582720.

The previous prime is 138908048827. The next prime is 138908048833. The reversal of 138908048832 is 238840809831.

It is a happy number.

138908048832 is a `hidden beast` number, since 1 + 3 + 89 + 0 + 80 + 488 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138908048833) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1902849948 + ... + 1902850020.

Almost surely, 2^138908048832 is an apocalyptic number.

138908048832 is a gapful number since it is divisible by the number (12) 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 138908048832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259251273216).

138908048832 is an abundant number, since it is smaller than the sum of its proper divisors (379594497600).

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

138908048832 is a wasteful number, since it uses less digits than its factorization.

138908048832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 138908048832 in words is "one hundred thirty-eight billion, nine hundred eight million, forty-eight thousand, eight hundred thirty-two".