13540905 has 96 divisors (see below), whose sum is σ = 29548800. Its totient is φ = 5854464.

The previous prime is 13540897. The next prime is 13540931. The reversal of 13540905 is 50904531.

It is not a de Polignac number, because 13540905 - 2³ = 13540897 is a prime.

It is a super-2 number, since 2×13540905² = 366712216438050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152101 + ... + 152189.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 2^13540905 is an apocalyptic number.

13540905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13540905 is an abundant number, since it is smaller than the sum of its proper divisors (16007895).

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

13540905 is a wasteful number, since it uses less digits than its factorization.

13540905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 13540905 is about 3679.7968693937. The cubic root of 13540905 is about 238.3504065665.

The spelling of 13540905 in words is "thirteen million, five hundred forty thousand, nine hundred five".