138911040 has 168 divisors, whose sum is σ = 482620320. Its totient is φ = 36670464.

The previous prime is 138911021. The next prime is 138911083. The reversal of 138911040 is 40119831.

It is a junction number, because it is equal to n+sod(n) for n = 138910995 and 138911013.

It is a congruent number.

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, 400147 + ... + 400493.

It is an arithmetic number, because the mean of its divisors is an integer number (2872740).

Almost surely, 2^138911040 is an apocalyptic number.

138911040 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 138911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241310160).

138911040 is an abundant number, since it is smaller than the sum of its proper divisors (343709280).

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

138911040 is a wasteful number, since it uses less digits than its factorization.

138911040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 138911040 is about 11786.0527743600. The cubic root of 138911040 is about 517.8996143231.

The spelling of 138911040 in words is "one hundred thirty-eight million, nine hundred eleven thousand, forty".