138271933721600 has 1056 divisors, whose sum is σ = 410021973580800. Its totient is φ = 46199427563520.

The previous prime is 138271933721567. The next prime is 138271933721641. The reversal of 138271933721600 is 6127339172831.

It is a super-2 number, since 2×138271933721600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57066417989 + ... + 57066420411.

Almost surely, 2^{138271933721600} is an apocalyptic number.

138271933721600 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 138271933721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205010986790400).

138271933721600 is an abundant number, since it is smaller than the sum of its proper divisors (271750039859200).

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

138271933721600 is an equidigital number, since it uses as much as digits as its factorization.

138271933721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 53.

The spelling of 138271933721600 in words is "one hundred thirty-eight trillion, two hundred seventy-one billion, nine hundred thirty-three million, seven hundred twenty-one thousand, six hundred".