138841354176 has 336 divisors, whose sum is σ = 437289342336. Its totient is φ = 38750939136.

The previous prime is 138841354081. The next prime is 138841354193. The reversal of 138841354176 is 671453148831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153077115 + ... + 153078021.

It is an arithmetic number, because the mean of its divisors is an integer number (1301456376).

Almost surely, 2^138841354176 is an apocalyptic number.

138841354176 is a gapful number since it is divisible by the number (16) 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 138841354176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218644671168).

138841354176 is an abundant number, since it is smaller than the sum of its proper divisors (298447988160).

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

138841354176 is a wasteful number, since it uses less digits than its factorization.

138841354176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1279 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The spelling of 138841354176 in words is "one hundred thirty-eight billion, eight hundred forty-one million, three hundred fifty-four thousand, one hundred seventy-six".