138241036800 has 480 divisors, whose sum is σ = 509640595200. Its totient is φ = 36702535680.

The previous prime is 138241036799. The next prime is 138241036811. The reversal of 138241036800 is 8630142831.

138241036800 is a `hidden beast` number, since 138 + 2 + 410 + 36 + 80 + 0 = 666.

138241036800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×138241036800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92965657 + ... + 92967143.

It is an arithmetic number, because the mean of its divisors is an integer number (1061751240).

Almost surely, 2^138241036800 is an apocalyptic number.

138241036800 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 138241036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254820297600).

138241036800 is an abundant number, since it is smaller than the sum of its proper divisors (371399558400).

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

138241036800 is a wasteful number, since it uses less digits than its factorization.

138241036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 138241036800 in words is "one hundred thirty-eight billion, two hundred forty-one million, thirty-six thousand, eight hundred".