1003135240 has 64 divisors (see below), whose sum is σ = 2337640560. Its totient is φ = 387179520.

The previous prime is 1003135213. The next prime is 1003135253. The reversal of 1003135240 is 425313001.

It can be written as a sum of positive squares in 8 ways, for example, as 418366116 + 584769124 = 20454^2 + 24182^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125442 + ... + 133198.

Almost surely, 2^1003135240 is an apocalyptic number.

1003135240 is a gapful number since it is divisible by the number (10) 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 1003135240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168820280).

1003135240 is an abundant number, since it is smaller than the sum of its proper divisors (1334505320).

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

1003135240 is a wasteful number, since it uses less digits than its factorization.

1003135240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7882 (or 7878 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1003135240 is about 31672.3103041126. The cubic root of 1003135240 is about 1001.0439897062.

Adding to 1003135240 its reverse (425313001), we get a palindrome (1428448241).

The spelling of 1003135240 in words is "one billion, three million, one hundred thirty-five thousand, two hundred forty".