338148 has 48 divisors (see below), whose sum is σ = 913920. Its totient is φ = 108000.

The previous prime is 338141. The next prime is 338153. The reversal of 338148 is 841833.

338148 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338148² = 228688139808, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338148.

It is not an unprimeable number, because it can be changed into a prime (338141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3298 + ... + 3398.

It is an arithmetic number, because the mean of its divisors is an integer number (19040).

2³³⁸¹⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456960).

338148 is an abundant number, since it is smaller than the sum of its proper divisors (575772).

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

338148 is a wasteful number, since it uses less digits than its factorization.

338148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

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

The square root of 338148 is about 581.5049440890. The cubic root of 338148 is about 69.6683632695.

The spelling of 338148 in words is "three hundred thirty-eight thousand, one hundred forty-eight".