13541920 has 96 divisors (see below), whose sum is σ = 37231488. Its totient is φ = 4558848.

The previous prime is 13541903. The next prime is 13541929. The reversal of 13541920 is 2914531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13541929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119784 + ... + 119896.

It is an arithmetic number, because the mean of its divisors is an integer number (387828).

Almost surely, 2^13541920 is an apocalyptic number.

13541920 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 13541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615744).

13541920 is an abundant number, since it is smaller than the sum of its proper divisors (23689568).

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

13541920 is a wasteful number, since it uses less digits than its factorization.

13541920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 13541920 is about 3679.9347820308. The cubic root of 13541920 is about 238.3563618459.

The spelling of 13541920 in words is "thirteen million, five hundred forty-one thousand, nine hundred twenty".