138940160 has 144 divisors (see below), whose sum is σ = 364240800. Its totient is φ = 50577408.

The previous prime is 138940157. The next prime is 138940187. The reversal of 138940160 is 61049831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705182 + ... + 705378.

It is an arithmetic number, because the mean of its divisors is an integer number (2529450).

Almost surely, 2^138940160 is an apocalyptic number.

138940160 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 138940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182120400).

138940160 is an abundant number, since it is smaller than the sum of its proper divisors (225300640).

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

138940160 is a wasteful number, since it uses less digits than its factorization.

138940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 138940160 is about 11787.2880680842. The cubic root of 138940160 is about 517.9358009911.

Adding to 138940160 its reverse (61049831), we get a palindrome (199989991).

The spelling of 138940160 in words is "one hundred thirty-eight million, nine hundred forty thousand, one hundred sixty".