138842220255040 has 112 divisors (see below), whose sum is σ = 333232942351680. Its totient is φ = 55099072143360.

The previous prime is 138842220254999. The next prime is 138842220255119. The reversal of 138842220255040 is 40552022248831.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22003255 + ... + 27601225.

It is an arithmetic number, because the mean of its divisors is an integer number (2975294128140).

Almost surely, 2^{138842220255040} is an apocalyptic number.

138842220255040 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 138842220255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166616471175840).

138842220255040 is an abundant number, since it is smaller than the sum of its proper divisors (194390722096640).

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

138842220255040 is a wasteful number, since it uses less digits than its factorization.

138842220255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5598600 (or 5598590 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 46.

The spelling of 138842220255040 in words is "one hundred thirty-eight trillion, eight hundred forty-two billion, two hundred twenty million, two hundred fifty-five thousand, forty".