13540900 has 18 divisors (see below), whose sum is σ = 29383970. Its totient is φ = 5416320.

The previous prime is 13540897. The next prime is 13540931. The reversal of 13540900 is 904531.

13540900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1094116 + 12446784 = 1046^2 + 3528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67605 + ... + 67804.

Almost surely, 2^13540900 is an apocalyptic number.

13540900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13540900 is an abundant number, since it is smaller than the sum of its proper divisors (15843070).

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

13540900 is a wasteful number, since it uses less digits than its factorization.

13540900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135423 (or 135416 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 13540900 is about 3679.7961900084. The cubic root of 13540900 is about 238.3503772294.

The spelling of 13540900 in words is "thirteen million, five hundred forty thousand, nine hundred".