138067840 has 128 divisors (see below), whose sum is σ = 351410400. Its totient is φ = 51781632.

The previous prime is 138067837. The next prime is 138067861. The reversal of 138067840 is 48760831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 138067840.

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 15 ways as a sum of consecutive naturals, for example, 797994 + ... + 798166.

Almost surely, 2^138067840 is an apocalyptic number.

138067840 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 138067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175705200).

138067840 is an abundant number, since it is smaller than the sum of its proper divisors (213342560).

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

138067840 is a wasteful number, since it uses less digits than its factorization.

138067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 138067840 is about 11750.2272318453. The cubic root of 138067840 is about 516.8495909113.

The spelling of 138067840 in words is "one hundred thirty-eight million, sixty-seven thousand, eight hundred forty".