138835169280 has 156 divisors (see below), whose sum is σ = 481237140540. Its totient is φ = 37022662656.

The previous prime is 138835169201. The next prime is 138835169293. The reversal of 138835169280 is 82961538831.

138835169280 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 351 + 6 + 9 + 280 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82061623296 + 56773545984 = 286464^2 + 238272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192295 + ... + 560934.

It is an arithmetic number, because the mean of its divisors is an integer number (3084853465).

Almost surely, 2^138835169280 is an apocalyptic number.

138835169280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138835169280 is an abundant number, since it is smaller than the sum of its proper divisors (342401971260).

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

138835169280 is an equidigital number, since it uses as much as digits as its factorization.

138835169280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753264 (or 753239 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 138835169280 in words is "one hundred thirty-eight billion, eight hundred thirty-five million, one hundred sixty-nine thousand, two hundred eighty".