138163296 has 48 divisors (see below), whose sum is σ = 364606704. Its totient is φ = 45809664.

The previous prime is 138163243. The next prime is 138163321. The reversal of 138163296 is 692361831.

138163296 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14800 + ... + 22256.

It is an arithmetic number, because the mean of its divisors is an integer number (7595973).

Almost surely, 2^138163296 is an apocalyptic number.

138163296 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 138163296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182303352).

138163296 is an abundant number, since it is smaller than the sum of its proper divisors (226443408).

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

138163296 is a wasteful number, since it uses less digits than its factorization.

138163296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7663 (or 7655 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 138163296 is about 11754.2884089170. The cubic root of 138163296 is about 516.9686749525.

The spelling of 138163296 in words is "one hundred thirty-eight million, one hundred sixty-three thousand, two hundred ninety-six".