138333432160 has 192 divisors, whose sum is σ = 407832413184. Its totient is φ = 43076966400.

The previous prime is 138333432157. The next prime is 138333432161. The reversal of 138333432160 is 61234333831.

It is a happy number.

It is a super-2 number, since 2×138333432160² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138333432161) 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 31 ways as a sum of consecutive naturals, for example, 15062770 + ... + 15071950.

It is an arithmetic number, because the mean of its divisors is an integer number (2124127152).

Almost surely, 2^138333432160 is an apocalyptic number.

138333432160 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 138333432160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203916206592).

138333432160 is an abundant number, since it is smaller than the sum of its proper divisors (269498981024).

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

138333432160 is a wasteful number, since it uses less digits than its factorization.

138333432160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10437 (or 10429 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 37.

Adding to 138333432160 its reverse (61234333831), we get a palindrome (199567765991).

The spelling of 138333432160 in words is "one hundred thirty-eight billion, three hundred thirty-three million, four hundred thirty-two thousand, one hundred sixty".