13167144 has 64 divisors (see below), whose sum is σ = 37382400. Its totient is φ = 4292352.

The previous prime is 13167137. The next prime is 13167149. The reversal of 13167144 is 44176131.

It is a happy number.

It is a super-2 number, since 2×13167144² = 346747362233472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13167149) 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, 9504 + ... + 10800.

It is an arithmetic number, because the mean of its divisors is an integer number (584100).

Almost surely, 2^13167144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13167144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18691200).

13167144 is an abundant number, since it is smaller than the sum of its proper divisors (24215256).

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

13167144 is a wasteful number, since it uses less digits than its factorization.

13167144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1349 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 13167144 is about 3628.6559495218. The cubic root of 13167144 is about 236.1369022786.

The spelling of 13167144 in words is "thirteen million, one hundred sixty-seven thousand, one hundred forty-four".