138871297920 has 256 divisors, whose sum is σ = 468936921600. Its totient is φ = 34858377216.

The previous prime is 138871297843. The next prime is 138871297921. The reversal of 138871297920 is 29792178831.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138871297921) 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, 5715237 + ... + 5739483.

It is an arithmetic number, because the mean of its divisors is an integer number (1831784850).

Almost surely, 2^138871297920 is an apocalyptic number.

138871297920 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 138871297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234468460800).

138871297920 is an abundant number, since it is smaller than the sum of its proper divisors (330065623680).

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

138871297920 is a wasteful number, since it uses less digits than its factorization.

138871297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24445 (or 24433 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 57.

The spelling of 138871297920 in words is "one hundred thirty-eight billion, eight hundred seventy-one million, two hundred ninety-seven thousand, nine hundred twenty".