138524092800 has 192 divisors, whose sum is σ = 468596384400. Its totient is φ = 35941294080.

The previous prime is 138524092783. The next prime is 138524092801. The reversal of 138524092800 is 8290425831.

138524092800 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 (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138524092801) 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 23 ways as a sum of consecutive naturals, for example, 160206 + ... + 550194.

Almost surely, 2^138524092800 is an apocalyptic number.

138524092800 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 138524092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234298192200).

138524092800 is an abundant number, since it is smaller than the sum of its proper divisors (330072291600).

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

138524092800 is a wasteful number, since it uses less digits than its factorization.

138524092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390053 (or 390036 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 138524092800 in words is "one hundred thirty-eight billion, five hundred twenty-four million, ninety-two thousand, eight hundred".