138504340 has 24 divisors (see below), whose sum is σ = 313233480. Its totient is φ = 51139968.

The previous prime is 138504337. The next prime is 138504349. The reversal of 138504340 is 43405831.

138504340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 535824 + 137968516 = 732^2 + 11746^2 .

It is a junction number, because it is equal to n+sod(n) for n = 138504299 and 138504308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138504349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266095 + ... + 266614.

It is an arithmetic number, because the mean of its divisors is an integer number (13051395).

Almost surely, 2^138504340 is an apocalyptic number.

138504340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138504340 is an abundant number, since it is smaller than the sum of its proper divisors (174729140).

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

138504340 is a wasteful number, since it uses less digits than its factorization.

138504340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532731 (or 532729 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 138504340 is about 11768.7866834266. The cubic root of 138504340 is about 517.3936894116.

The spelling of 138504340 in words is "one hundred thirty-eight million, five hundred four thousand, three hundred forty".