138855442682880 has 7040 divisors, whose sum is σ = 699487237177344. Its totient is φ = 25454916403200.

The previous prime is 138855442682833. The next prime is 138855442682881. The reversal of 138855442682880 is 88286244558831.

138855442682880 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 554 + 4 + 2 + 68 + 2 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7040).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 138855442682799 and 138855442682808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138855442682881) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 622670146449 + ... + 622670146671.

Almost surely, 2^{138855442682880} is an apocalyptic number.

138855442682880 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 138855442682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349743618588672).

138855442682880 is an abundant number, since it is smaller than the sum of its proper divisors (560631794494464).

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

138855442682880 is a wasteful number, since it uses less digits than its factorization.

138855442682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 943718400, while the sum is 72.

The spelling of 138855442682880 in words is "one hundred thirty-eight trillion, eight hundred fifty-five billion, four hundred forty-two million, six hundred eighty-two thousand, eight hundred eighty".