138104008 has 128 divisors (see below), whose sum is σ = 331776000. Its totient is φ = 52565760.

The previous prime is 138103969. The next prime is 138104009. The reversal of 138104008 is 800401831.

138104008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (138104009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1748113 + ... + 1748191.

It is an arithmetic number, because the mean of its divisors is an integer number (2592000).

Almost surely, 2^138104008 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 138104008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165888000).

138104008 is an abundant number, since it is smaller than the sum of its proper divisors (193671992).

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

138104008 is a wasteful number, since it uses less digits than its factorization.

138104008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 138104008 is about 11751.7661651345. The cubic root of 138104008 is about 516.8947179637.

Adding to 138104008 its reverse (800401831), we get a palindrome (938505839).

The spelling of 138104008 in words is "one hundred thirty-eight million, one hundred four thousand, eight".