138172176 has 80 divisors (see below), whose sum is σ = 398635200. Its totient is φ = 45821952.

The previous prime is 138172163. The next prime is 138172189. The reversal of 138172176 is 671271831.

It is an interprime number because it is at equal distance from previous prime (138172163) and next prime (138172189).

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

It is a self number, because there is not a number n which added to its sum of digits gives 138172176.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97360 + ... + 98768.

It is an arithmetic number, because the mean of its divisors is an integer number (4982940).

Almost surely, 2^138172176 is an apocalyptic number.

138172176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138172176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199317600).

138172176 is an abundant number, since it is smaller than the sum of its proper divisors (260463024).

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

138172176 is a wasteful number, since it uses less digits than its factorization.

138172176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1641 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 138172176 is about 11754.6661373261. Note that the first 3 decimals coincide. The cubic root of 138172176 is about 516.9797502130.

The spelling of 138172176 in words is "one hundred thirty-eight million, one hundred seventy-two thousand, one hundred seventy-six".