138408169426128 has 160 divisors (see below), whose sum is σ = 477934085657600. Its totient is φ = 37463865393024.

The previous prime is 138408169426069. The next prime is 138408169426151. The reversal of 138408169426128 is 821624961804831.

It is a happy number.

138408169426128 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 0 + 8 + 1 + 6 + 9 + 4 + 2 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1204413526 + ... + 1204528437.

It is an arithmetic number, because the mean of its divisors is an integer number (2987088035360).

Almost surely, 2^{138408169426128} is an apocalyptic number.

138408169426128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138408169426128 is an abundant number, since it is smaller than the sum of its proper divisors (339525916231472).

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

138408169426128 is a wasteful number, since it uses less digits than its factorization.

138408169426128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408942006 (or 2408941994 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 138408169426128 in words is "one hundred thirty-eight trillion, four hundred eight billion, one hundred sixty-nine million, four hundred twenty-six thousand, one hundred twenty-eight".