275916144 has 80 divisors (see below), whose sum is σ = 817090560. Its totient is φ = 78593280.

The previous prime is 275916139. The next prime is 275916161. The reversal of 275916144 is 441619572.

275916144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×275916144³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129649 + ... + 131759.

It is an arithmetic number, because the mean of its divisors is an integer number (10213632).

Almost surely, 2^275916144 is an apocalyptic number.

275916144 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 275916144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408545280).

275916144 is an abundant number, since it is smaller than the sum of its proper divisors (541174416).

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

275916144 is a wasteful number, since it uses less digits than its factorization.

275916144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2512 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 275916144 is about 16610.7237650862. The cubic root of 275916144 is about 651.0170618061.

The spelling of 275916144 in words is "two hundred seventy-five million, nine hundred sixteen thousand, one hundred forty-four".