13475120 has 40 divisors (see below), whose sum is σ = 31538160. Its totient is φ = 5354240.

The previous prime is 13475087. The next prime is 13475129. The reversal of 13475120 is 2157431.

13475120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (13475129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13850 + ... + 14790.

It is an arithmetic number, because the mean of its divisors is an integer number (788454).

Almost surely, 2^13475120 is an apocalyptic number.

13475120 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 13475120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15769080).

13475120 is an abundant number, since it is smaller than the sum of its proper divisors (18063040).

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

13475120 is a wasteful number, since it uses less digits than its factorization.

13475120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 13475120 is about 3670.8473136321. The cubic root of 13475120 is about 237.9637917753.

The spelling of 13475120 in words is "thirteen million, four hundred seventy-five thousand, one hundred twenty".