13535800 has 24 divisors (see below), whose sum is σ = 31471200. Its totient is φ = 5414240.

The previous prime is 13535773. The next prime is 13535803. The reversal of 13535800 is 853531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13535803) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 33640 + ... + 34039.

It is an arithmetic number, because the mean of its divisors is an integer number (1311300).

Almost surely, 2^13535800 is an apocalyptic number.

13535800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13535800 is an abundant number, since it is smaller than the sum of its proper divisors (17935400).

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

13535800 is a wasteful number, since it uses less digits than its factorization.

13535800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67695 (or 67686 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 13535800 is about 3679.1031515846. The cubic root of 13535800 is about 238.3204496380.

The spelling of 13535800 in words is "thirteen million, five hundred thirty-five thousand, eight hundred".