138984449820 has 96 divisors (see below), whose sum is σ = 391966772736. Its totient is φ = 36795168000.

The previous prime is 138984449809. The next prime is 138984449833. The reversal of 138984449820 is 28944489831.

138984449820 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 (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20118807 + ... + 20125713.

It is an arithmetic number, because the mean of its divisors is an integer number (4082987216).

Almost surely, 2^138984449820 is an apocalyptic number.

138984449820 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 138984449820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195983386368).

138984449820 is an abundant number, since it is smaller than the sum of its proper divisors (252982322916).

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

138984449820 is a wasteful number, since it uses less digits than its factorization.

138984449820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9291 (or 9289 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 138984449820 in words is "one hundred thirty-eight billion, nine hundred eighty-four million, four hundred forty-nine thousand, eight hundred twenty".