138517344 has 192 divisors, whose sum is σ = 474969600. Its totient is φ = 38444544.

The previous prime is 138517297. The next prime is 138517349. The reversal of 138517344 is 443715831.

It is a happy number.

138517344 is a `hidden beast` number, since 138 + 517 + 3 + 4 + 4 = 666.

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 = 138517299 and 138517308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138517349) 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, 223467 + ... + 224085.

It is an arithmetic number, because the mean of its divisors is an integer number (2473800).

Almost surely, 2^138517344 is an apocalyptic number.

138517344 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 138517344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237484800).

138517344 is an abundant number, since it is smaller than the sum of its proper divisors (336452256).

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

138517344 is a wasteful number, since it uses less digits than its factorization.

138517344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 668 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 138517344 is about 11769.3391488222. The cubic root of 138517344 is about 517.4098813879.

The spelling of 138517344 in words is "one hundred thirty-eight million, five hundred seventeen thousand, three hundred forty-four".