13050144 has 72 divisors (see below), whose sum is σ = 37533132. Its totient is φ = 4300800.

The previous prime is 13050133. The next prime is 13050179. The reversal of 13050144 is 44105031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13046544 + 3600 = 3612^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32344 + ... + 32744.

Almost surely, 2^13050144 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 13050144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18766566).

13050144 is an abundant number, since it is smaller than the sum of its proper divisors (24482988).

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

13050144 is a wasteful number, since it uses less digits than its factorization.

13050144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13050144 is about 3612.4983044979. The cubic root of 13050144 is about 235.4354022454.

Adding to 13050144 its reverse (44105031), we get a palindrome (57155175).

The spelling of 13050144 in words is "thirteen million, fifty thousand, one hundred forty-four".