138564240 has 40 divisors (see below), whose sum is σ = 429549888. Its totient is φ = 36950400.

The previous prime is 138564227. The next prime is 138564247. The reversal of 138564240 is 42465831.

138564240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (138564247) 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, 288436 + ... + 288915.

Almost surely, 2^138564240 is an apocalyptic number.

138564240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138564240 is an abundant number, since it is smaller than the sum of its proper divisors (290985648).

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

138564240 is a wasteful number, since it uses less digits than its factorization.

138564240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577367 (or 577361 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 138564240 is about 11771.3312756035. The cubic root of 138564240 is about 517.4682656915.

The spelling of 138564240 in words is "one hundred thirty-eight million, five hundred sixty-four thousand, two hundred forty".