138028672 has 32 divisors (see below), whose sum is σ = 277838820. Its totient is φ = 68296704.

The previous prime is 138028663. The next prime is 138028687. The reversal of 138028672 is 276820831.

It can be written as a sum of positive squares in 2 ways, for example, as 129595456 + 8433216 = 11384^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6858 + ... + 17974.

Almost surely, 2^138028672 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 138028672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138919410).

138028672 is an abundant number, since it is smaller than the sum of its proper divisors (139810148).

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

138028672 is an equidigital number, since it uses as much as digits as its factorization.

138028672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11228 (or 11216 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 138028672 is about 11748.5604224518. The cubic root of 138028672 is about 516.8007118497.

The spelling of 138028672 in words is "one hundred thirty-eight million, twenty-eight thousand, six hundred seventy-two".