138005189 has 32 divisors (see below), whose sum is σ = 173184000. Its totient is φ = 107339904.

The previous prime is 138005173. The next prime is 138005209. The reversal of 138005189 is 981500831.

It is not a de Polignac number, because 138005189 - 2⁴ = 138005173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138005159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337217 + ... + 337625.

It is an arithmetic number, because the mean of its divisors is an integer number (5412000).

Almost surely, 2^138005189 is an apocalyptic number.

138005189 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

138005189 is a deficient number, since it is larger than the sum of its proper divisors (35178811).

138005189 is a wasteful number, since it uses less digits than its factorization.

138005189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537.

The product of its (nonzero) digits is 8640, while the sum is 35.

The square root of 138005189 is about 11747.5609809015. The cubic root of 138005189 is about 516.7714021919.

The spelling of 138005189 in words is "one hundred thirty-eight million, five thousand, one hundred eighty-nine".