207144 has 64 divisors (see below), whose sum is σ = 662400. Its totient is φ = 58752.

The previous prime is 207139. The next prime is 207169. The reversal of 207144 is 441702.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444 + ... + 1580.

It is an arithmetic number, because the mean of its divisors is an integer number (10350).

2²⁰⁷¹⁴⁴ is an apocalyptic number.

207144 is a gapful number since it is divisible by the number (24) 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 207144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331200).

207144 is an abundant number, since it is smaller than the sum of its proper divisors (455256).

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

207144 is a wasteful number, since it uses less digits than its factorization.

207144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 207144 is about 455.1307504443. The cubic root of 207144 is about 59.1685308765.

Adding to 207144 its reverse (441702), we get a palindrome (648846).

It can be divided in two parts, 207 and 144, that added together give a triangular number (351 = T₂₆).

The spelling of 207144 in words is "two hundred seven thousand, one hundred forty-four", and thus it is an iban number.