138810238894080 has 3264 divisors, whose sum is σ = 583584966328320. Its totient is φ = 31163544502272.

The previous prime is 138810238894013. The next prime is 138810238894163. The reversal of 138810238894080 is 80498832018831.

138810238894080 is a `hidden beast` number, since 1 + 3 + 88 + 10 + 2 + 388 + 94 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3264).

It is a junction number, because it is equal to n+sod(n) for n = 138810238893999 and 138810238894017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1092994006977 + ... + 1092994007103.

Almost surely, 2^{138810238894080} is an apocalyptic number.

138810238894080 is a gapful number since it is divisible by the number (10) 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 138810238894080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291792483164160).

138810238894080 is an abundant number, since it is smaller than the sum of its proper divisors (444774727434240).

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

138810238894080 is a wasteful number, since it uses less digits than its factorization.

138810238894080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 138810238894080 in words is "one hundred thirty-eight trillion, eight hundred ten billion, two hundred thirty-eight million, eight hundred ninety-four thousand, eighty".