13276144 has 40 divisors (see below), whose sum is σ = 29685600. Its totient is φ = 5634048.

The previous prime is 13276139. The next prime is 13276157. The reversal of 13276144 is 44167231.

13276144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12132 + ... + 13180.

It is an arithmetic number, because the mean of its divisors is an integer number (742140).

Almost surely, 2^13276144 is an apocalyptic number.

13276144 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 13276144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842800).

13276144 is an abundant number, since it is smaller than the sum of its proper divisors (16409456).

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

13276144 is a wasteful number, since it uses less digits than its factorization.

13276144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1171 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 13276144 is about 3643.6443295141. The cubic root of 13276144 is about 236.7867071610.

The spelling of 13276144 in words is "thirteen million, two hundred seventy-six thousand, one hundred forty-four".