13850144 has 108 divisors (see below), whose sum is σ = 35342622. Its totient is φ = 5322240.

The previous prime is 13850143. The next prime is 13850147. The reversal of 13850144 is 44105831.

It can be written as a sum of positive squares in only one way, i.e., 11478544 + 2371600 = 3388^2 + 1540^2 .

It is not an unprimeable number, because it can be changed into a prime (13850143) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 189692 + ... + 189764.

Almost surely, 2^13850144 is an apocalyptic number.

13850144 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 13850144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17671311).

13850144 is an abundant number, since it is smaller than the sum of its proper divisors (21492478).

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

13850144 is a wasteful number, since it uses less digits than its factorization.

13850144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 13850144 is about 3721.5781598671. The cubic root of 13850144 is about 240.1512010190.

Adding to 13850144 its reverse (44105831), we get a palindrome (57955975).

The spelling of 13850144 in words is "thirteen million, eight hundred fifty thousand, one hundred forty-four".