138092553844224 has 960 divisors, whose sum is σ = 466347680409600. Its totient is φ = 36168487649280.

The previous prime is 138092553844169. The next prime is 138092553844253. The reversal of 138092553844224 is 422448355290831.

It is a happy number.

It is a congruent number.

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, 16003304742 + ... + 16003313370.

It is an arithmetic number, because the mean of its divisors is an integer number (485778833760).

Almost surely, 2^{138092553844224} is an apocalyptic number.

138092553844224 is a gapful number since it is divisible by the number (14) 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 138092553844224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233173840204800).

138092553844224 is an abundant number, since it is smaller than the sum of its proper divisors (328255126565376).

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

138092553844224 is an frugal number, since it uses more digits than its factorization.

138092553844224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8752 (or 8691 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 60.

The spelling of 138092553844224 in words is "one hundred thirty-eight trillion, ninety-two billion, five hundred fifty-three million, eight hundred forty-four thousand, two hundred twenty-four".