138585816 has 96 divisors (see below), whose sum is σ = 394141200. Its totient is φ = 45676224.

The previous prime is 138585763. The next prime is 138585827. The reversal of 138585816 is 618585831.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

138585816 is a `hidden beast` number, since 13 + 8 + 58 + 581 + 6 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1557100 + ... + 1557188.

Almost surely, 2^138585816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138585816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197070600).

138585816 is an abundant number, since it is smaller than the sum of its proper divisors (255555384).

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

138585816 is an frugal number, since it uses more digits than its factorization.

138585816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 94 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 138585816 is about 11772.2477038160. The cubic root of 138585816 is about 517.4951228274.

The spelling of 138585816 in words is "one hundred thirty-eight million, five hundred eighty-five thousand, eight hundred sixteen".