138176 has 28 divisors (see below), whose sum is σ = 292608. Its totient is φ = 64512.

The previous prime is 138163. The next prime is 138179. The reversal of 138176 is 671831.

138176 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1025 + ... + 1151.

2¹³⁸¹⁷⁶ is an apocalyptic number.

138176 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 138176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146304).

138176 is an abundant number, since it is smaller than the sum of its proper divisors (154432).

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

138176 is a wasteful number, since it uses less digits than its factorization.

138176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its digits is 1008, while the sum is 26.

The square root of 138176 is about 371.7203249756. The cubic root of 138176 is about 51.6984519413.

The spelling of 138176 in words is "one hundred thirty-eight thousand, one hundred seventy-six".