138044497920 has 672 divisors, whose sum is σ = 524750897664. Its totient is φ = 30352343040.

The previous prime is 138044497901. The next prime is 138044497931. The reversal of 138044497920 is 29794440831.

It is a tau number, because it is divible by the number of its divisors (672).

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, 826613677 + ... + 826613843.

It is an arithmetic number, because the mean of its divisors is an integer number (780879312).

Almost surely, 2^138044497920 is an apocalyptic number.

138044497920 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 138044497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262375448832).

138044497920 is an abundant number, since it is smaller than the sum of its proper divisors (386706399744).

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

138044497920 is an equidigital number, since it uses as much as digits as its factorization.

138044497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 138044497920 in words is "one hundred thirty-eight billion, forty-four million, four hundred ninety-seven thousand, nine hundred twenty".