138011328 has 168 divisors, whose sum is σ = 487058208. Its totient is φ = 36384768.

The previous prime is 138011297. The next prime is 138011333. The reversal of 138011328 is 823110831.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 51100 + ... + 53732.

It is an arithmetic number, because the mean of its divisors is an integer number (2899156).

Almost surely, 2^138011328 is an apocalyptic number.

138011328 is a gapful number since it is divisible by the number (18) 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 138011328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243529104).

138011328 is an abundant number, since it is smaller than the sum of its proper divisors (349046880).

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

138011328 is a wasteful number, since it uses less digits than its factorization.

138011328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 138011328 is about 11747.8222662756. The cubic root of 138011328 is about 516.7790647361.

It can be divided in two parts, 13801 and 1328, that added together give a square (15129 = 123²).

The spelling of 138011328 in words is "one hundred thirty-eight million, eleven thousand, three hundred twenty-eight".