138348 has 60 divisors (see below), whose sum is σ = 420112. Its totient is φ = 38880.

The previous prime is 138337. The next prime is 138349. The reversal of 138348 is 843831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (138349) by changing a digit.

138348 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2238 + ... + 2298.

2¹³⁸³⁴⁸ is an apocalyptic number.

138348 is a gapful number since it is divisible by the number (18) 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 138348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210056).

138348 is an abundant number, since it is smaller than the sum of its proper divisors (281764).

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

138348 is a wasteful number, since it uses less digits than its factorization.

138348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 73 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 138348 is about 371.9516097559. The cubic root of 138348 is about 51.7198942725.

It can be divided in two parts, 1383 and 48, that added together give a triangular number (1431 = T₅₃).

The spelling of 138348 in words is "one hundred thirty-eight thousand, three hundred forty-eight".