138164184 has 64 divisors (see below), whose sum is σ = 389558400. Its totient is φ = 45362592.

The previous prime is 138164183. The next prime is 138164233. The reversal of 138164184 is 481461831.

It is a happy number.

138164184 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 641 + 8 + 4 = 666.

138164184 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138164183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9699 + ... + 19245.

It is an arithmetic number, because the mean of its divisors is an integer number (6086850).

Almost surely, 2^138164184 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 138164184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194779200).

138164184 is an abundant number, since it is smaller than the sum of its proper divisors (251394216).

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

138164184 is a wasteful number, since it uses less digits than its factorization.

138164184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9629 (or 9619 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 138164184 is about 11754.3261823041. The cubic root of 138164184 is about 516.9697824999.

The spelling of 138164184 in words is "one hundred thirty-eight million, one hundred sixty-four thousand, one hundred eighty-four".