138682336 has 96 divisors (see below), whose sum is σ = 309391488. Its totient is φ = 60764160.

The previous prime is 138682333. The next prime is 138682343. The reversal of 138682336 is 633286831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138682331) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 801546 + ... + 801718.

It is an arithmetic number, because the mean of its divisors is an integer number (3222828).

Almost surely, 2^138682336 is an apocalyptic number.

138682336 is a gapful number since it is divisible by the number (16) 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 138682336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154695744).

138682336 is an abundant number, since it is smaller than the sum of its proper divisors (170709152).

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

138682336 is a wasteful number, since it uses less digits than its factorization.

138682336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 138682336 is about 11776.3464622947. The cubic root of 138682336 is about 517.6152338156.

The spelling of 138682336 in words is "one hundred thirty-eight million, six hundred eighty-two thousand, three hundred thirty-six".