138160116 has 72 divisors (see below), whose sum is σ = 356396040. Its totient is φ = 45121536.

The previous prime is 138160111. The next prime is 138160117. The reversal of 138160116 is 611061831.

138160116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 80460900 + 57699216 = 8970^2 + 7596^2 .

It is a super-3 number, since 3×138160116³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138160116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138160111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537460 + ... + 537716.

It is an arithmetic number, because the mean of its divisors is an integer number (4949945).

Almost surely, 2^138160116 is an apocalyptic number.

It is an amenable number.

138160116 is an abundant number, since it is smaller than the sum of its proper divisors (218235924).

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

138160116 is a wasteful number, since it uses less digits than its factorization.

138160116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 508 counting only the distinct ones).

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

The square root of 138160116 is about 11754.1531383592. The cubic root of 138160116 is about 516.9647086965.

The spelling of 138160116 in words is "one hundred thirty-eight million, one hundred sixty thousand, one hundred sixteen".