138107288160 has 288 divisors, whose sum is σ = 496775916000. Its totient is φ = 34842451968.

The previous prime is 138107288131. The next prime is 138107288239. The reversal of 138107288160 is 61882701831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 22678396 + ... + 22684484.

It is an arithmetic number, because the mean of its divisors is an integer number (1724916375).

Almost surely, 2^138107288160 is an apocalyptic number.

138107288160 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 138107288160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248387958000).

138107288160 is an abundant number, since it is smaller than the sum of its proper divisors (358668627840).

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

138107288160 is a wasteful number, since it uses less digits than its factorization.

138107288160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6958 (or 6947 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

Adding to 138107288160 its reverse (61882701831), we get a palindrome (199989989991).

The spelling of 138107288160 in words is "one hundred thirty-eight billion, one hundred seven million, two hundred eighty-eight thousand, one hundred sixty".