138408588 has 60 divisors (see below), whose sum is σ = 362936112. Its totient is φ = 45995040.

The previous prime is 138408581. The next prime is 138408593. The reversal of 138408588 is 885804831.

It is not an unprimeable number, because it can be changed into a prime (138408581) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 204106 + ... + 204782.

Almost surely, 2^138408588 is an apocalyptic number.

138408588 is a gapful number since it is divisible by the number (18) 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 138408588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181468056).

138408588 is an abundant number, since it is smaller than the sum of its proper divisors (224527524).

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

138408588 is a wasteful number, since it uses less digits than its factorization.

138408588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 138408588 is about 11764.7179311703. The cubic root of 138408588 is about 517.2744322547.

The spelling of 138408588 in words is "one hundred thirty-eight million, four hundred eight thousand, five hundred eighty-eight".