13145328 has 210 divisors, whose sum is σ = 46351944. Its totient is φ = 3592512.

The previous prime is 13145311. The next prime is 13145339. The reversal of 13145328 is 82354131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 571525 + ... + 571547.

Almost surely, 2^13145328 is an apocalyptic number.

13145328 is a gapful number since it is divisible by the number (18) 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 13145328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23175972).

13145328 is an abundant number, since it is smaller than the sum of its proper divisors (33206616).

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

13145328 is an equidigital number, since it uses as much as digits as its factorization.

13145328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 35 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 13145328 is about 3625.6486316244. The cubic root of 13145328 is about 236.0064156065.

Adding to 13145328 its reverse (82354131), we get a palindrome (95499459).

The spelling of 13145328 in words is "thirteen million, one hundred forty-five thousand, three hundred twenty-eight".