13535900 has 72 divisors (see below), whose sum is σ = 34226976. Its totient is φ = 4550400.

The previous prime is 13535897. The next prime is 13535903. The reversal of 13535900 is 953531.

13535900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13535897) and next prime (13535903).

It is a self number, because there is not a number n which added to its sum of digits gives 13535900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13535903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42542 + ... + 42858.

Almost surely, 2^13535900 is an apocalyptic number.

13535900 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 13535900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113488).

13535900 is an abundant number, since it is smaller than the sum of its proper divisors (20691076).

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

13535900 is a wasteful number, since it uses less digits than its factorization.

13535900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 26.

The square root of 13535900 is about 3679.1167418281. The cubic root of 13535900 is about 238.3210365258.

The spelling of 13535900 in words is "thirteen million, five hundred thirty-five thousand, nine hundred".