13540815 has 24 divisors (see below), whose sum is σ = 23660208. Its totient is φ = 7163520.

The previous prime is 13540801. The next prime is 13540817. The reversal of 13540815 is 51804531.

It is not a de Polignac number, because 13540815 - 2⁴ = 13540799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13540817) 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, 4747 + ... + 7043.

It is an arithmetic number, because the mean of its divisors is an integer number (985842).

Almost surely, 2^13540815 is an apocalyptic number.

13540815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13540815 is a deficient number, since it is larger than the sum of its proper divisors (10119393).

13540815 is a wasteful number, since it uses less digits than its factorization.

13540815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 13540815 is about 3679.7846404375. The cubic root of 13540815 is about 238.3498784978.

It can be divided in two parts, 135408 and 15, that multiplied together give a triangular number (2031120 = T₂₀₁₅).

The spelling of 13540815 in words is "thirteen million, five hundred forty thousand, eight hundred fifteen".