138334176 has 96 divisors (see below), whose sum is σ = 417463200. Its totient is φ = 44513280.

The previous prime is 138334171. The next prime is 138334223. The reversal of 138334176 is 671433831.

It is a tau number, because it is divible by the number of its divisors (96).

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 138334176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138334171) 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, 22296 + ... + 27816.

It is an arithmetic number, because the mean of its divisors is an integer number (4348575).

Almost surely, 2^138334176 is an apocalyptic number.

138334176 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 138334176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208731600).

138334176 is an abundant number, since it is smaller than the sum of its proper divisors (279129024).

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

138334176 is a wasteful number, since it uses less digits than its factorization.

138334176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569 (or 5555 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 138334176 is about 11761.5549992337. The cubic root of 138334176 is about 517.1817156450.

The spelling of 138334176 in words is "one hundred thirty-eight million, three hundred thirty-four thousand, one hundred seventy-six".