138442898880 has 336 divisors, whose sum is σ = 559436832864. Its totient is φ = 30980136960.

The previous prime is 138442898837. The next prime is 138442898887. The reversal of 138442898880 is 88898244831.

138442898880 is a `hidden beast` number, since 1 + 38 + 442 + 8 + 9 + 88 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138442898887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243762 + ... + 579918.

It is an arithmetic number, because the mean of its divisors is an integer number (1664990574).

Almost surely, 2^138442898880 is an apocalyptic number.

138442898880 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 138442898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279718416432).

138442898880 is an abundant number, since it is smaller than the sum of its proper divisors (420993933984).

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

138442898880 is a wasteful number, since it uses less digits than its factorization.

138442898880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336204 (or 336191 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 138442898880 in words is "one hundred thirty-eight billion, four hundred forty-two million, eight hundred ninety-eight thousand, eight hundred eighty".