138116160 has 672 divisors, whose sum is σ = 639055872. Its totient is φ = 26542080.

The previous prime is 138116159. The next prime is 138116161. The reversal of 138116160 is 61611831.

138116160 is a `hidden beast` number, since 1 + 38 + 11 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (138116159) and next prime (138116161).

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (138116161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4455345 + ... + 4455375.

It is an arithmetic number, because the mean of its divisors is an integer number (950976).

Almost surely, 2^138116160 is an apocalyptic number.

138116160 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 138116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319527936).

138116160 is an abundant number, since it is smaller than the sum of its proper divisors (500939712).

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

138116160 is a wasteful number, since it uses less digits than its factorization.

138116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 138116160 is about 11752.2831824289. The cubic root of 138116160 is about 516.9098783260.

Adding to 138116160 its reverse (61611831), we get a palindrome (199727991).

The spelling of 138116160 in words is "one hundred thirty-eight million, one hundred sixteen thousand, one hundred sixty".