13535340 has 192 divisors, whose sum is σ = 48620544. Its totient is φ = 2737152.

The previous prime is 13535321. The next prime is 13535359. The reversal of 13535340 is 4353531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13535321) and next prime (13535359).

It is a self number, because there is not a number n which added to its sum of digits gives 13535340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201987 + ... + 202053.

It is an arithmetic number, because the mean of its divisors is an integer number (253232).

Almost surely, 2^13535340 is an apocalyptic number.

13535340 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 13535340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24310272).

13535340 is an abundant number, since it is smaller than the sum of its proper divisors (35085204).

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

13535340 is a wasteful number, since it uses less digits than its factorization.

13535340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 13535340 is about 3679.0406358180. The cubic root of 13535340 is about 238.3177499170.

Adding to 13535340 its reverse (4353531), we get a palindrome (17888871).

The spelling of 13535340 in words is "thirteen million, five hundred thirty-five thousand, three hundred forty".