138632301024 has 192 divisors, whose sum is σ = 439122216960. Its totient is φ = 37410024960.

The previous prime is 138632301023. The next prime is 138632301077. The reversal of 138632301024 is 420103236831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138632301023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4209807 + ... + 4242609.

It is an arithmetic number, because the mean of its divisors is an integer number (2287094880).

Almost surely, 2^138632301024 is an apocalyptic number.

138632301024 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 138632301024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219561108480).

138632301024 is an abundant number, since it is smaller than the sum of its proper divisors (300489915936).

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

138632301024 is a wasteful number, since it uses less digits than its factorization.

138632301024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33173 (or 33165 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 138632301024 its reverse (420103236831), we get a palindrome (558735537855).

The spelling of 138632301024 in words is "one hundred thirty-eight billion, six hundred thirty-two million, three hundred one thousand, twenty-four".