13638100 has 36 divisors (see below), whose sum is σ = 33824224. Its totient is φ = 4675680.

The previous prime is 13638077. The next prime is 13638101. The reversal of 13638100 is 183631.

It is a super-2 number, since 2×13638100² = 371995543220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13638101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9042 + ... + 10441.

Almost surely, 2^13638100 is an apocalyptic number.

13638100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13638100 is an abundant number, since it is smaller than the sum of its proper divisors (20186124).

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

13638100 is a wasteful number, since it uses less digits than its factorization.

13638100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19504 (or 19497 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 13638100 is about 3692.9798266441. The cubic root of 13638100 is about 238.9193310964.

The spelling of 13638100 in words is "thirteen million, six hundred thirty-eight thousand, one hundred".