138419408 has 40 divisors (see below), whose sum is σ = 288895200. Its totient is φ = 64036224.

The previous prime is 138419401. The next prime is 138419417. The reversal of 138419408 is 804914831.

138419408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138419408² = 38319865022140928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138419401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7778 + ... + 18366.

It is an arithmetic number, because the mean of its divisors is an integer number (7222380).

Almost surely, 2^138419408 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 138419408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144447600).

138419408 is an abundant number, since it is smaller than the sum of its proper divisors (150475792).

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

138419408 is a wasteful number, since it uses less digits than its factorization.

138419408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10659 (or 10653 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 138419408 is about 11765.1777717126. The cubic root of 138419408 is about 517.2879110992.

The spelling of 138419408 in words is "one hundred thirty-eight million, four hundred nineteen thousand, four hundred eight".