13125040 has 40 divisors (see below), whose sum is σ = 30667680. Its totient is φ = 5223936.

The previous prime is 13125001. The next prime is 13125053. The reversal of 13125040 is 4052131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28492 + ... + 28948.

It is an arithmetic number, because the mean of its divisors is an integer number (766692).

Almost surely, 2^13125040 is an apocalyptic number.

13125040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13125040 is an abundant number, since it is smaller than the sum of its proper divisors (17542640).

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

13125040 is a wasteful number, since it uses less digits than its factorization.

13125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 13125040 is about 3622.8497070676. The cubic root of 13125040 is about 235.8849386445.

Adding to 13125040 its reverse (4052131), we get a palindrome (17177171).

The spelling of 13125040 in words is "thirteen million, one hundred twenty-five thousand, forty".