138912306 has 64 divisors (see below), whose sum is σ = 319872000. Its totient is φ = 39859776.

The previous prime is 138912283. The next prime is 138912313. The reversal of 138912306 is 603219831.

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 31 ways as a sum of consecutive naturals, for example, 98595 + ... + 99993.

It is an arithmetic number, because the mean of its divisors is an integer number (4998000).

Almost surely, 2^138912306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138912306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159936000).

138912306 is an abundant number, since it is smaller than the sum of its proper divisors (180959694).

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

138912306 is a wasteful number, since it uses less digits than its factorization.

138912306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 138912306 is about 11786.1064817861. The cubic root of 138912306 is about 517.9011876536.

It can be divided in two parts, 1389 and 12306, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 138912306 in words is "one hundred thirty-eight million, nine hundred twelve thousand, three hundred six".