13545792 has 168 divisors, whose sum is σ = 44009056. Its totient is φ = 4105728.

The previous prime is 13545769. The next prime is 13545797. The reversal of 13545792 is 29754531.

13545792 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13545797) 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, 202143 + ... + 202209.

Almost surely, 2^13545792 is an apocalyptic number.

13545792 is a gapful number since it is divisible by the number (12) 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 13545792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22004528).

13545792 is an abundant number, since it is smaller than the sum of its proper divisors (30463264).

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

13545792 is an equidigital number, since it uses as much as digits as its factorization.

13545792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 13545792 is about 3680.4608407100. The cubic root of 13545792 is about 238.3790771843.

The spelling of 13545792 in words is "thirteen million, five hundred forty-five thousand, seven hundred ninety-two".