138096 has 60 divisors (see below), whose sum is σ = 444912. Its totient is φ = 39168.

The previous prime is 138079. The next prime is 138101. The reversal of 138096 is 690831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 940 + ... + 1076.

2¹³⁸⁰⁹⁶ is an apocalyptic number.

138096 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 138096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222456).

138096 is an abundant number, since it is smaller than the sum of its proper divisors (306816).

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

138096 is a wasteful number, since it uses less digits than its factorization.

138096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 138096 is about 371.6127016128. The cubic root of 138096 is about 51.6884727008.

The spelling of 138096 in words is "one hundred thirty-eight thousand, ninety-six".