13542144 has 144 divisors (see below), whose sum is σ = 45131520. Its totient is φ = 3502080.

The previous prime is 13542143. The next prime is 13542161. The reversal of 13542144 is 44124531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13542143) 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, 59022 + ... + 59250.

Almost surely, 2^13542144 is an apocalyptic number.

13542144 is a gapful number since it is divisible by the number (14) 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 13542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22565760).

13542144 is an abundant number, since it is smaller than the sum of its proper divisors (31589376).

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

13542144 is a wasteful number, since it uses less digits than its factorization.

13542144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 13542144 is about 3679.9652172269. The cubic root of 13542144 is about 238.3576760744.

Adding to 13542144 its reverse (44124531), we get a palindrome (57666675).

The spelling of 13542144 in words is "thirteen million, five hundred forty-two thousand, one hundred forty-four".