13132128 has 96 divisors (see below), whose sum is σ = 36741600. Its totient is φ = 4100096.

The previous prime is 13132123. The next prime is 13132153. The reversal of 13132128 is 82123131.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132123) 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, 147508 + ... + 147596.

It is an arithmetic number, because the mean of its divisors is an integer number (382725).

Almost surely, 2^13132128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18370800).

13132128 is an abundant number, since it is smaller than the sum of its proper divisors (23609472).

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

13132128 is a wasteful number, since it uses less digits than its factorization.

13132128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 13132128 is about 3623.8278104789. The cubic root of 13132128 is about 235.9273931580.

Adding to 13132128 its reverse (82123131), we get a palindrome (95255259).

The spelling of 13132128 in words is "thirteen million, one hundred thirty-two thousand, one hundred twenty-eight".