273144 has 32 divisors (see below), whose sum is σ = 720000. Its totient is φ = 86112.

The previous prime is 273131. The next prime is 273149. The reversal of 273144 is 441372.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 273144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273149) by changing a digit.

273144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (22500).

2²⁷³¹⁴⁴ is an apocalyptic number.

273144 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 273144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360000).

273144 is an abundant number, since it is smaller than the sum of its proper divisors (446856).

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

273144 is a wasteful number, since it uses less digits than its factorization.

273144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 623 counting only the distinct ones).

The product of its digits is 672, while the sum is 21.

The square root of 273144 is about 522.6318015582. The cubic root of 273144 is about 64.8829451476.

It can be divided in two parts, 2731 and 44, that added together give a triangular number (2775 = T₇₄).

The spelling of 273144 in words is "two hundred seventy-three thousand, one hundred forty-four", and thus it is an iban number.