138311316 has 144 divisors (see below), whose sum is σ = 417912768. Its totient is φ = 38016000.

The previous prime is 138311309. The next prime is 138311321. The reversal of 138311316 is 613113831.

138311316 is a `hidden beast` number, since 1 + 38 + 311 + 316 = 666.

138311316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 138311316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344716 + ... + 345116.

It is an arithmetic number, because the mean of its divisors is an integer number (2902172).

Almost surely, 2^138311316 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 138311316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208956384).

138311316 is an abundant number, since it is smaller than the sum of its proper divisors (279601452).

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

138311316 is a wasteful number, since it uses less digits than its factorization.

138311316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 497 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 138311316 is about 11760.5831488069. The cubic root of 138311316 is about 517.1532256370.

The spelling of 138311316 in words is "one hundred thirty-eight million, three hundred eleven thousand, three hundred sixteen".