138072240 has 120 divisors (see below), whose sum is σ = 488145840. Its totient is φ = 34877952.

The previous prime is 138072223. The next prime is 138072287. The reversal of 138072240 is 42270831.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8634 + ... + 18726.

It is an arithmetic number, because the mean of its divisors is an integer number (4067882).

Almost surely, 2^138072240 is an apocalyptic number.

138072240 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 138072240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244072920).

138072240 is an abundant number, since it is smaller than the sum of its proper divisors (350073600).

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

138072240 is a wasteful number, since it uses less digits than its factorization.

138072240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10131 (or 10122 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 138072240 is about 11750.4144607754. The cubic root of 138072240 is about 516.8550812414.

The spelling of 138072240 in words is "one hundred thirty-eight million, seventy-two thousand, two hundred forty".