138367320 has 128 divisors (see below), whose sum is σ = 510935040. Its totient is φ = 29191680.

The previous prime is 138367289. The next prime is 138367351. The reversal of 138367320 is 23763831.

It is an interprime number because it is at equal distance from previous prime (138367289) and next prime (138367351).

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 31 ways as a sum of consecutive naturals, for example, 4585 + ... + 17255.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2^138367320 is an apocalyptic number.

138367320 is a gapful number since it is divisible by the number (10) 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 138367320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255467520).

138367320 is an abundant number, since it is smaller than the sum of its proper divisors (372567720).

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

138367320 is a wasteful number, since it uses less digits than its factorization.

138367320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12705 (or 12701 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 138367320 is about 11762.9639122119. The cubic root of 138367320 is about 517.2230168439.

The spelling of 138367320 in words is "one hundred thirty-eight million, three hundred sixty-seven thousand, three hundred twenty".