138155238144 has 1080 divisors, whose sum is σ = 535929343488. Its totient is φ = 34987438080.

The previous prime is 138155238119. The next prime is 138155238211. The reversal of 138155238144 is 441832551831.

138155238144 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 5 + 523 + 81 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 138155238144.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 525304957 + ... + 525305219.

Almost surely, 2^138155238144 is an apocalyptic number.

138155238144 is a gapful number since it is divisible by the number (14) 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 138155238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267964671744).

138155238144 is an abundant number, since it is smaller than the sum of its proper divisors (397774105344).

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

138155238144 is a wasteful number, since it uses less digits than its factorization.

138155238144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 333 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

Adding to 138155238144 its reverse (441832551831), we get a palindrome (579987789975).

The spelling of 138155238144 in words is "one hundred thirty-eight billion, one hundred fifty-five million, two hundred thirty-eight thousand, one hundred forty-four".