138958331904 has 672 divisors, whose sum is σ = 497246330880. Its totient is φ = 36500668416.

The previous prime is 138958331903. The next prime is 138958331909. The reversal of 138958331904 is 409133859831.

138958331904 is a `hidden beast` number, since 138 + 95 + 8 + 331 + 90 + 4 = 666.

138958331904 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 (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138958331903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362815297 + ... + 362815679.

Almost surely, 2^138958331904 is an apocalyptic number.

138958331904 is a gapful number since it is divisible by the number (14) 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 138958331904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248623165440).

138958331904 is an abundant number, since it is smaller than the sum of its proper divisors (358287998976).

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

138958331904 is a wasteful number, since it uses less digits than its factorization.

138958331904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 138958331904 in words is "one hundred thirty-eight billion, nine hundred fifty-eight million, three hundred thirty-one thousand, nine hundred four".