138336 has 48 divisors (see below), whose sum is σ = 399168. Its totient is φ = 41600.

The previous prime is 138323. The next prime is 138337. The reversal of 138336 is 633831.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 991 + ... + 1121.

It is an arithmetic number, because the mean of its divisors is an integer number (8316).

2¹³⁸³³⁶ is an apocalyptic number.

138336 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 138336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199584).

138336 is an abundant number, since it is smaller than the sum of its proper divisors (260832).

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

138336 is a wasteful number, since it uses less digits than its factorization.

138336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 147 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 138336 is about 371.9354782755. The cubic root of 138336 is about 51.7183988728.

It can be divided in two parts, 138 and 336, that added together give a palindrome (474).

The spelling of 138336 in words is "one hundred thirty-eight thousand, three hundred thirty-six".