1503135840 has 96 divisors (see below), whose sum is σ = 4766882400. Its totient is φ = 398127104.

The previous prime is 1503135827. The next prime is 1503135871. The reversal of 1503135840 is 485313051.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1503135798 and 1503135807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61012 + ... + 82028.

It is an arithmetic number, because the mean of its divisors is an integer number (49655025).

Almost surely, 2^1503135840 is an apocalyptic number.

1503135840 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 1503135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383441200).

1503135840 is an abundant number, since it is smaller than the sum of its proper divisors (3263746560).

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

1503135840 is a wasteful number, since it uses less digits than its factorization.

1503135840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21184 (or 21176 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1503135840 is about 38770.2958461758. The cubic root of 1503135840 is about 1145.5113852552.

Adding to 1503135840 its reverse (485313051), we get a palindrome (1988448891).

The spelling of 1503135840 in words is "one billion, five hundred three million, one hundred thirty-five thousand, eight hundred forty".