13142016 has 144 divisors (see below), whose sum is σ = 40884480. Its totient is φ = 4055040.

The previous prime is 13142011. The next prime is 13142027. The reversal of 13142016 is 61024131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13142016.

It is not an unprimeable number, because it can be changed into a prime (13142011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423921 + ... + 423951.

It is an arithmetic number, because the mean of its divisors is an integer number (283920).

Almost surely, 2^13142016 is an apocalyptic number.

13142016 is a gapful number since it is divisible by the number (16) 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 13142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

13142016 is an abundant number, since it is smaller than the sum of its proper divisors (27742464).

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

13142016 is a wasteful number, since it uses less digits than its factorization.

13142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13142016 is about 3625.1918569918. The cubic root of 13142016 is about 235.9865931290.

Adding to 13142016 its reverse (61024131), we get a palindrome (74166147).

The spelling of 13142016 in words is "thirteen million, one hundred forty-two thousand, sixteen".