138310016 has 64 divisors (see below), whose sum is σ = 303792720. Its totient is φ = 62318592.

The previous prime is 138310013. The next prime is 138310031. The reversal of 138310016 is 610013831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 138309973 and 138310000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138310013) 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 7 ways as a sum of consecutive naturals, for example, 70586 + ... + 72518.

Almost surely, 2^138310016 is an apocalyptic number.

138310016 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 138310016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151896360).

138310016 is an abundant number, since it is smaller than the sum of its proper divisors (165482704).

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

138310016 is a wasteful number, since it uses less digits than its factorization.

138310016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 138310016 is about 11760.5278793088. The cubic root of 138310016 is about 517.1516053760.

Adding to 138310016 its reverse (610013831), we get a palindrome (748323847).

The spelling of 138310016 in words is "one hundred thirty-eight million, three hundred ten thousand, sixteen".