13175040 has 144 divisors (see below), whose sum is σ = 43561728. Its totient is φ = 3391488.

The previous prime is 13175023. The next prime is 13175047. The reversal of 13175040 is 4057131.

It is a junction number, because it is equal to n+sod(n) for n = 13174998 and 13175016.

It is not an unprimeable number, because it can be changed into a prime (13175047) 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, 180444 + ... + 180516.

It is an arithmetic number, because the mean of its divisors is an integer number (302512).

Almost surely, 2^13175040 is an apocalyptic number.

13175040 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 13175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21780864).

13175040 is an abundant number, since it is smaller than the sum of its proper divisors (30386688).

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

13175040 is an equidigital number, since it uses as much as digits as its factorization.

13175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 13175040 is about 3629.7437926113. The cubic root of 13175040 is about 236.1840946032.

The spelling of 13175040 in words is "thirteen million, one hundred seventy-five thousand, forty".