138411168 has 96 divisors (see below), whose sum is σ = 422392320. Its totient is φ = 38864640.

The previous prime is 138411157. The next prime is 138411173. The reversal of 138411168 is 861114831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37903 + ... + 41393.

It is an arithmetic number, because the mean of its divisors is an integer number (4399920).

Almost surely, 2^138411168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138411168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211196160).

138411168 is an abundant number, since it is smaller than the sum of its proper divisors (283981152).

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

138411168 is a wasteful number, since it uses less digits than its factorization.

138411168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 3562 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 138411168 is about 11764.8275805470. The cubic root of 138411168 is about 517.2776463128.

Adding to 138411168 its reverse (861114831), we get a palindrome (999525999).

The spelling of 138411168 in words is "one hundred thirty-eight million, four hundred eleven thousand, one hundred sixty-eight".