13530120 has 64 divisors (see below), whose sum is σ = 40936320. Its totient is φ = 3577344.

The previous prime is 13530119. The next prime is 13530131. The reversal of 13530120 is 2103531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13530120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16029 + ... + 16851.

It is an arithmetic number, because the mean of its divisors is an integer number (639630).

Almost surely, 2^13530120 is an apocalyptic number.

13530120 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 13530120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20468160).

13530120 is an abundant number, since it is smaller than the sum of its proper divisors (27406200).

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

13530120 is a wasteful number, since it uses less digits than its factorization.

13530120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13530120 is about 3678.3311433312. The cubic root of 13530120 is about 238.2871096669.

Adding to 13530120 its reverse (2103531), we get a palindrome (15633651).

The spelling of 13530120 in words is "thirteen million, five hundred thirty thousand, one hundred twenty".