138192 has 20 divisors (see below), whose sum is σ = 357120. Its totient is φ = 46048.

The previous prime is 138191. The next prime is 138197. The reversal of 138192 is 291831.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138191) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1392 + ... + 1487.

It is an arithmetic number, because the mean of its divisors is an integer number (17856).

2¹³⁸¹⁹² is an apocalyptic number.

138192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138192 is an abundant number, since it is smaller than the sum of its proper divisors (218928).

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

138192 is a wasteful number, since it uses less digits than its factorization.

138192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2884 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 138192 is about 371.7418459092. The cubic root of 138192 is about 51.7004473272.

The spelling of 138192 in words is "one hundred thirty-eight thousand, one hundred ninety-two".