138413032344 has 384 divisors, whose sum is σ = 410643717120. Its totient is φ = 42007680000.

The previous prime is 138413032339. The next prime is 138413032357. The reversal of 138413032344 is 443230314831.

138413032344 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 1 + 303 + 2 + 344 = 666.

It is a super-2 number, since 2×138413032344² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138413032299 and 138413032308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 551446219 + ... + 551446469.

It is an arithmetic number, because the mean of its divisors is an integer number (1069384680).

Almost surely, 2^138413032344 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 138413032344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205321858560).

138413032344 is an abundant number, since it is smaller than the sum of its proper divisors (272230684776).

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

138413032344 is a wasteful number, since it uses less digits than its factorization.

138413032344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 138413032344 in words is "one hundred thirty-eight billion, four hundred thirteen million, thirty-two thousand, three hundred forty-four".