13570144 has 48 divisors (see below), whose sum is σ = 31600800. Its totient is φ = 5612544.

The previous prime is 13570103. The next prime is 13570163. The reversal of 13570144 is 44107531.

It is a super-3 number, since 3×13570144³ (a number of 22 digits) contains 333 as substring.

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, 5452 + ... + 7540.

It is an arithmetic number, because the mean of its divisors is an integer number (658350).

Almost surely, 2^13570144 is an apocalyptic number.

13570144 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 13570144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15800400).

13570144 is an abundant number, since it is smaller than the sum of its proper divisors (18030656).

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

13570144 is a wasteful number, since it uses less digits than its factorization.

13570144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 13570144 is about 3683.7676365374. The cubic root of 13570144 is about 238.5218406368.

Adding to 13570144 its reverse (44107531), we get a palindrome (57677675).

The spelling of 13570144 in words is "thirteen million, five hundred seventy thousand, one hundred forty-four".