138228084 has 36 divisors (see below), whose sum is σ = 350209860. Its totient is φ = 45970560.

The previous prime is 138228067. The next prime is 138228089. The reversal of 138228084 is 480822831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 29484900 + 108743184 = 5430^2 + 10428^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×138228084³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138228089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12432 + ... + 20760.

Almost surely, 2^138228084 is an apocalyptic number.

It is an amenable number.

138228084 is an abundant number, since it is smaller than the sum of its proper divisors (211981776).

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

138228084 is a wasteful number, since it uses less digits than its factorization.

138228084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8800 (or 8795 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 138228084 is about 11757.0440162483. The cubic root of 138228084 is about 517.0494685582.

The spelling of 138228084 in words is "one hundred thirty-eight million, two hundred twenty-eight thousand, eighty-four".