138227628 has 192 divisors, whose sum is σ = 425779200. Its totient is φ = 34574400.

The previous prime is 138227599. The next prime is 138227669. The reversal of 138227628 is 826722831.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1946833 + ... + 1946903.

It is an arithmetic number, because the mean of its divisors is an integer number (2217600).

Almost surely, 2^138227628 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 138227628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212889600).

138227628 is an abundant number, since it is smaller than the sum of its proper divisors (287551572).

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

138227628 is a wasteful number, since it uses less digits than its factorization.

138227628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 138227628 is about 11757.0246236027. The cubic root of 138227628 is about 517.0488999935.

The spelling of 138227628 in words is "one hundred thirty-eight million, two hundred twenty-seven thousand, six hundred twenty-eight".