138144050880 has 896 divisors, whose sum is σ = 539914429440. Its totient is φ = 29491200000.

The previous prime is 138144050851. The next prime is 138144050887. The reversal of 138144050880 is 88050441831.

It is not an unprimeable number, because it can be changed into a prime (138144050887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 344498680 + ... + 344499080.

Almost surely, 2^138144050880 is an apocalyptic number.

138144050880 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 138144050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269957214720).

138144050880 is an abundant number, since it is smaller than the sum of its proper divisors (401770378560).

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

138144050880 is a wasteful number, since it uses less digits than its factorization.

138144050880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 138144050880 in words is "one hundred thirty-eight billion, one hundred forty-four million, fifty thousand, eight hundred eighty".