138358368 has 108 divisors (see below), whose sum is σ = 409188780. Its totient is φ = 46049472.

The previous prime is 138358351. The next prime is 138358373. The reversal of 138358368 is 863853831.

138358368 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 583 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 209623 + ... + 210281.

It is an arithmetic number, because the mean of its divisors is an integer number (3788785).

Almost surely, 2^138358368 is an apocalyptic number.

138358368 is a gapful number since it is divisible by the number (18) 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 138358368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204594390).

138358368 is an abundant number, since it is smaller than the sum of its proper divisors (270830412).

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

138358368 is an frugal number, since it uses more digits than its factorization.

138358368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 664 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 138358368 is about 11762.5833897150. The cubic root of 138358368 is about 517.2118622825.

The spelling of 138358368 in words is "one hundred thirty-eight million, three hundred fifty-eight thousand, three hundred sixty-eight".