138927840 has 192 divisors, whose sum is σ = 459841536. Its totient is φ = 35223552.

The previous prime is 138927839. The next prime is 138927853. The reversal of 138927840 is 48729831.

138927840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 138927792 and 138927801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093857 + ... + 1093983.

It is an arithmetic number, because the mean of its divisors is an integer number (2395008).

Almost surely, 2^138927840 is an apocalyptic number.

138927840 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 138927840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229920768).

138927840 is an abundant number, since it is smaller than the sum of its proper divisors (320913696).

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

138927840 is a wasteful number, since it uses less digits than its factorization.

138927840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 138927840 is about 11786.7654596161. The cubic root of 138927840 is about 517.9204918641.

The spelling of 138927840 in words is "one hundred thirty-eight million, nine hundred twenty-seven thousand, eight hundred forty".