138868704 has 144 divisors (see below), whose sum is σ = 440294400. Its totient is φ = 41223168.

The previous prime is 138868693. The next prime is 138868727. The reversal of 138868704 is 407868831.

138868704 is digitally balanced in base 2, 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 self number, because there is not a number n which added to its sum of digits gives 138868704.

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, 107937 + ... + 109215.

It is an arithmetic number, because the mean of its divisors is an integer number (3057600).

Almost surely, 2^138868704 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 138868704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

138868704 is an abundant number, since it is smaller than the sum of its proper divisors (301425696).

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

138868704 is a wasteful number, since it uses less digits than its factorization.

138868704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1326 counting only the distinct ones).

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

The square root of 138868704 is about 11784.2566163505. The cubic root of 138868704 is about 517.8469954531.

The spelling of 138868704 in words is "one hundred thirty-eight million, eight hundred sixty-eight thousand, seven hundred four".