203148 has 72 divisors (see below), whose sum is σ = 611520. Its totient is φ = 58320.

The previous prime is 203141. The next prime is 203173. The reversal of 203148 is 841302.

It is a happy number.

It is a super-3 number, since 3×203148³ = 25151211416333376, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 203148.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 203148.

It is not an unprimeable number, because it can be changed into a prime (203141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10683 + ... + 10701.

2²⁰³¹⁴⁸ 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 203148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305760).

203148 is an abundant number, since it is smaller than the sum of its proper divisors (408372).

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

203148 is a wasteful number, since it uses less digits than its factorization.

203148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 203148 is about 450.7194249198. The cubic root of 203148 is about 58.7855858046.

It can be divided in two parts, 203 and 148, that added together give a triangular number (351 = T₂₆).

The spelling of 203148 in words is "two hundred three thousand, one hundred forty-eight".