138408040 has 16 divisors (see below), whose sum is σ = 311418180. Its totient is φ = 55363200.

The previous prime is 138407993. The next prime is 138408047. The reversal of 138408040 is 40804831.

138408040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 136282276 + 2125764 = 11674^2 + 1458^2 .

It is not an unprimeable number, because it can be changed into a prime (138408047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1730061 + ... + 1730140.

Almost surely, 2^138408040 is an apocalyptic number.

138408040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138408040 is an abundant number, since it is smaller than the sum of its proper divisors (173010140).

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

138408040 is a wasteful number, since it uses less digits than its factorization.

138408040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460212 (or 3460208 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 138408040 is about 11764.6946411711. The cubic root of 138408040 is about 517.2737495736.

The spelling of 138408040 in words is "one hundred thirty-eight million, four hundred eight thousand, forty".