13374144 has 168 divisors, whose sum is σ = 45646848. Its totient is φ = 3663360.

The previous prime is 13374143. The next prime is 13374149. The reversal of 13374144 is 44147331.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×13374144³ (a number of 22 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (13374143) 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, 124939 + ... + 125045.

Almost surely, 2^13374144 is an apocalyptic number.

13374144 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 13374144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22823424).

13374144 is an abundant number, since it is smaller than the sum of its proper divisors (32272704).

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

13374144 is a wasteful number, since it uses less digits than its factorization.

13374144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 13374144 is about 3657.0676777987. The cubic root of 13374144 is about 237.3679058614.

The spelling of 13374144 in words is "thirteen million, three hundred seventy-four thousand, one hundred forty-four".