138548220984 has 192 divisors, whose sum is σ = 414112608000. Its totient is φ = 43245633024.

The previous prime is 138548220973. The next prime is 138548220997. The reversal of 138548220984 is 489022845831.

138548220984 is a `hidden beast` number, since 1 + 3 + 8 + 548 + 2 + 2 + 0 + 98 + 4 = 666.

138548220984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 138548220984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6566019 + ... + 6587085.

It is an arithmetic number, because the mean of its divisors is an integer number (2156836500).

Almost surely, 2^138548220984 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 138548220984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207056304000).

138548220984 is an abundant number, since it is smaller than the sum of its proper divisors (275564387016).

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

138548220984 is a wasteful number, since it uses less digits than its factorization.

138548220984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21304 (or 21288 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 138548220984 in words is "one hundred thirty-eight billion, five hundred forty-eight million, two hundred twenty thousand, nine hundred eighty-four".