138579453600 has 288 divisors, whose sum is σ = 519582744576. Its totient is φ = 31425408000.

The previous prime is 138579453587. The next prime is 138579453619. The reversal of 138579453600 is 6354975831.

138579453600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 2101125 + ... + 2166075.

It is an arithmetic number, because the mean of its divisors is an integer number (1804106752).

Almost surely, 2^138579453600 is an apocalyptic number.

138579453600 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 138579453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259791372288).

138579453600 is an abundant number, since it is smaller than the sum of its proper divisors (381003290976).

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

138579453600 is a wasteful number, since it uses less digits than its factorization.

138579453600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65108 (or 65095 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 138579453600 in words is "one hundred thirty-eight billion, five hundred seventy-nine million, four hundred fifty-three thousand, six hundred".