13048144 has 40 divisors (see below), whose sum is σ = 26638920. Its totient is φ = 6182400.

The previous prime is 13048141. The next prime is 13048157. The reversal of 13048144 is 44184031.

13048144 = T₂₉₇ + T₂₉₈ + ... + T₄₇₀.

It can be written as a sum of positive squares in 4 ways, for example, as 1600 + 13046544 = 40^2 + 3612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13048141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28074 + ... + 28534.

It is an arithmetic number, because the mean of its divisors is an integer number (665973).

Almost surely, 2^13048144 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 13048144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13319460).

13048144 is an abundant number, since it is smaller than the sum of its proper divisors (13590776).

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

13048144 is a wasteful number, since it uses less digits than its factorization.

13048144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 13048144 is about 3612.2214771523. The cubic root of 13048144 is about 235.4233744123.

The spelling of 13048144 in words is "thirteen million, forty-eight thousand, one hundred forty-four".