138467328 has 96 divisors (see below), whose sum is σ = 381588480. Its totient is φ = 44605440.

The previous prime is 138467299. The next prime is 138467333. The reversal of 138467328 is 823764831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×138467328³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138467328.

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, 190101 + ... + 190827.

It is an arithmetic number, because the mean of its divisors is an integer number (3974880).

Almost surely, 2^138467328 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 138467328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190794240).

138467328 is an abundant number, since it is smaller than the sum of its proper divisors (243121152).

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

138467328 is an equidigital number, since it uses as much as digits as its factorization.

138467328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 763 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 138467328 is about 11767.2141137994. The cubic root of 138467328 is about 517.3475982415.

The spelling of 138467328 in words is "one hundred thirty-eight million, four hundred sixty-seven thousand, three hundred twenty-eight".