138544977120 has 192 divisors, whose sum is σ = 476386686720. Its totient is φ = 33565798400.

The previous prime is 138544977023. The next prime is 138544977121. The reversal of 138544977120 is 21779445831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138544977121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9554836 + ... + 9569324.

It is an arithmetic number, because the mean of its divisors is an integer number (2481180660).

Almost surely, 2^138544977120 is an apocalyptic number.

138544977120 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 138544977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238193343360).

138544977120 is an abundant number, since it is smaller than the sum of its proper divisors (337841709600).

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

138544977120 is a wasteful number, since it uses less digits than its factorization.

138544977120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16329 (or 16321 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 138544977120 in words is "one hundred thirty-eight billion, five hundred forty-four million, nine hundred seventy-seven thousand, one hundred twenty".