138767328 has 144 divisors (see below), whose sum is σ = 477640800. Its totient is φ = 37306368.

The previous prime is 138767281. The next prime is 138767333. The reversal of 138767328 is 823767831.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32248 + ... + 36296.

It is an arithmetic number, because the mean of its divisors is an integer number (3316950).

Almost surely, 2^138767328 is an apocalyptic number.

138767328 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 138767328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238820400).

138767328 is an abundant number, since it is smaller than the sum of its proper divisors (338873472).

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

138767328 is a wasteful number, since it uses less digits than its factorization.

138767328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4078 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 138767328 is about 11779.9544990632. The cubic root of 138767328 is about 517.7209530469.

The spelling of 138767328 in words is "one hundred thirty-eight million, seven hundred sixty-seven thousand, three hundred twenty-eight".