138004169688 has 1152 divisors, whose sum is σ = 538937280000. Its totient is φ = 31901506560.

The previous prime is 138004169683. The next prime is 138004169791. The reversal of 138004169688 is 886961400831.

138004169688 is a `hidden beast` number, since 138 + 0 + 0 + 416 + 96 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138004169683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3729842406 + ... + 3729842442.

It is an arithmetic number, because the mean of its divisors is an integer number (467827500).

Almost surely, 2^138004169688 is an apocalyptic number.

138004169688 is a gapful number since it is divisible by the number (18) 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 138004169688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269468640000).

138004169688 is an abundant number, since it is smaller than the sum of its proper divisors (400933110312).

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

138004169688 is a wasteful number, since it uses less digits than its factorization.

138004169688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 138004169688 in words is "one hundred thirty-eight billion, four million, one hundred sixty-nine thousand, six hundred eighty-eight".