138042419136 has 112 divisors (see below), whose sum is σ = 366710488320. Its totient is φ = 45828956160.

The previous prime is 138042419077. The next prime is 138042419149. The reversal of 138042419136 is 631914240831.

It is a congruent number.

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, 66333616 + ... + 66335696.

Almost surely, 2^138042419136 is an apocalyptic number.

138042419136 is a gapful number since it is divisible by the number (16) 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 138042419136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183355244160).

138042419136 is an abundant number, since it is smaller than the sum of its proper divisors (228668069184).

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

138042419136 is a wasteful number, since it uses less digits than its factorization.

138042419136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

Adding to 138042419136 its reverse (631914240831), we get a palindrome (769956659967).

The spelling of 138042419136 in words is "one hundred thirty-eight billion, forty-two million, four hundred nineteen thousand, one hundred thirty-six".