138271488000 has 768 divisors, whose sum is σ = 485707622400. Its totient is φ = 34888089600.

The previous prime is 138271487969. The next prime is 138271488007. The reversal of 138271488000 is 884172831.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138271488007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1750271961 + ... + 1750272039.

It is an arithmetic number, because the mean of its divisors is an integer number (632431800).

Almost surely, 2^138271488000 is an apocalyptic number.

138271488000 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 138271488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242853811200).

138271488000 is an abundant number, since it is smaller than the sum of its proper divisors (347436134400).

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

138271488000 is an equidigital number, since it uses as much as digits as its factorization.

138271488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 138271488000 in words is "one hundred thirty-eight billion, two hundred seventy-one million, four hundred eighty-eight thousand".