138015241517824 has 144 divisors (see below), whose sum is σ = 313981226737920. Its totient is φ = 59934219079680.

The previous prime is 138015241517773. The next prime is 138015241517851. The reversal of 138015241517824 is 428715142510831.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52407439 + ... + 54977905.

It is an arithmetic number, because the mean of its divisors is an integer number (2180425185680).

Almost surely, 2^{138015241517824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138015241517824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156990613368960).

138015241517824 is an abundant number, since it is smaller than the sum of its proper divisors (175965985220096).

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

138015241517824 is a wasteful number, since it uses less digits than its factorization.

138015241517824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571346 (or 2571332 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 52.

The spelling of 138015241517824 in words is "one hundred thirty-eight trillion, fifteen billion, two hundred forty-one million, five hundred seventeen thousand, eight hundred twenty-four".