13533452240 has 160 divisors (see below), whose sum is σ = 41294499840. Its totient is φ = 3996172800.

The previous prime is 13533452237. The next prime is 13533452267. The reversal of 13533452240 is 4225433531.

It is a super-2 number, since 2×13533452240² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13533452197 and 13533452206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59225 + ... + 174855.

It is an arithmetic number, because the mean of its divisors is an integer number (258090624).

Almost surely, 2^13533452240 is an apocalyptic number.

13533452240 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 13533452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20647249920).

13533452240 is an abundant number, since it is smaller than the sum of its proper divisors (27761047600).

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

13533452240 is a wasteful number, since it uses less digits than its factorization.

13533452240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115681 (or 115675 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

Adding to 13533452240 its reverse (4225433531), we get a palindrome (17758885771).

The spelling of 13533452240 in words is "thirteen billion, five hundred thirty-three million, four hundred fifty-two thousand, two hundred forty".