273144564 has 144 divisors (see below), whose sum is σ = 866750976. Its totient is φ = 70459200.

The previous prime is 273144541. The next prime is 273144569. The reversal of 273144564 is 465441372.

273144564 is a `hidden beast` number, since 27 + 31 + 44 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273144569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584659 + ... + 585125.

It is an arithmetic number, because the mean of its divisors is an integer number (6019104).

Almost surely, 2^273144564 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 273144564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433375488).

273144564 is an abundant number, since it is smaller than the sum of its proper divisors (593606412).

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

273144564 is a wasteful number, since it uses less digits than its factorization.

273144564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 701 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 273144564 is about 16527.0857685195. The cubic root of 273144564 is about 648.8298980527.

It can be divided in two parts, 27314 and 4564, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 273144564 in words is "two hundred seventy-three million, one hundred forty-four thousand, five hundred sixty-four".