13402144 has 96 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 5246208.

The previous prime is 13402141. The next prime is 13402157. The reversal of 13402144 is 44120431.

13402144 is nontrivially palindromic in base 12.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (13402141) 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, 199999 + ... + 200065.

It is an arithmetic number, because the mean of its divisors is an integer number (342720).

Almost surely, 2^13402144 is an apocalyptic number.

13402144 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 13402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

13402144 is an abundant number, since it is smaller than the sum of its proper divisors (19498976).

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

13402144 is a wasteful number, since it uses less digits than its factorization.

13402144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 13402144 is about 3660.8938799151. The cubic root of 13402144 is about 237.5334409052.

Adding to 13402144 its reverse (44120431), we get a palindrome (57522575).

The spelling of 13402144 in words is "thirteen million, four hundred two thousand, one hundred forty-four".