138350027640 has 512 divisors, whose sum is σ = 496729635840. Its totient is φ = 30447206400.

The previous prime is 138350027617. The next prime is 138350027653. The reversal of 138350027640 is 46720053831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72547567 + ... + 72549473.

It is an arithmetic number, because the mean of its divisors is an integer number (970175070).

Almost surely, 2^138350027640 is an apocalyptic number.

138350027640 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 138350027640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248364817920).

138350027640 is an abundant number, since it is smaller than the sum of its proper divisors (358379608200).

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

138350027640 is a wasteful number, since it uses less digits than its factorization.

138350027640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 138350027640 in words is "one hundred thirty-eight billion, three hundred fifty million, twenty-seven thousand, six hundred forty".