138009504 has 48 divisors (see below), whose sum is σ = 362880000. Its totient is φ = 45926400.

The previous prime is 138009491. The next prime is 138009527. The reversal of 138009504 is 405900831.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 109872 + ... + 111120.

It is an arithmetic number, because the mean of its divisors is an integer number (7560000).

Almost surely, 2^138009504 is an apocalyptic number.

It is an amenable number.

138009504 is an abundant number, since it is smaller than the sum of its proper divisors (224870496).

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

138009504 is a wasteful number, since it uses less digits than its factorization.

138009504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 138009504 is about 11747.7446346097. The cubic root of 138009504 is about 516.7767880893.

The spelling of 138009504 in words is "one hundred thirty-eight million, nine thousand, five hundred four".