138084588 has 60 divisors (see below), whose sum is σ = 366425752. Its totient is φ = 45334080.

The previous prime is 138084577. The next prime is 138084593. The reversal of 138084588 is 885480831.

It is a super-3 number, since 3×138084588³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 19 ways as a sum of consecutive naturals, for example, 18528 + ... + 24888.

Almost surely, 2^138084588 is an apocalyptic number.

138084588 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 138084588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183212876).

138084588 is an abundant number, since it is smaller than the sum of its proper divisors (228341164).

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

138084588 is a wasteful number, since it uses less digits than its factorization.

138084588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444 (or 6433 counting only the distinct ones).

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

The square root of 138084588 is about 11750.9398773034. The cubic root of 138084588 is about 516.8704884811.

The spelling of 138084588 in words is "one hundred thirty-eight million, eighty-four thousand, five hundred eighty-eight".