138169480935300 has 432 divisors, whose sum is σ = 406976440590720. Its totient is φ = 36191357675520.

The previous prime is 138169480935257. The next prime is 138169480935347. The reversal of 138169480935300 is 3539084961831.

It is a super-3 number, since 3×138169480935300³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 355191467506 + ... + 355191467894.

It is an arithmetic number, because the mean of its divisors is an integer number (942075093960).

Almost surely, 2^{138169480935300} is an apocalyptic number.

138169480935300 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 138169480935300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203488220295360).

138169480935300 is an abundant number, since it is smaller than the sum of its proper divisors (268806959655420).

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

138169480935300 is a wasteful number, since it uses less digits than its factorization.

138169480935300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 138169480935300 in words is "one hundred thirty-eight trillion, one hundred sixty-nine billion, four hundred eighty million, nine hundred thirty-five thousand, three hundred".