271287144 has 112 divisors (see below), whose sum is σ = 769843620. Its totient is φ = 89579520.

The previous prime is 271287143. The next prime is 271287151. The reversal of 271287144 is 441782172.

It can be written as a sum of positive squares in 2 ways, for example, as 271260900 + 26244 = 16470^2 + 162^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 271287099 and 271287108.

It is not an unprimeable number, because it can be changed into a prime (271287143) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 1055464 + ... + 1055720.

Almost surely, 2^271287144 is an apocalyptic number.

271287144 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 271287144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384921810).

271287144 is an abundant number, since it is smaller than the sum of its proper divisors (498556476).

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

271287144 is a wasteful number, since it uses less digits than its factorization.

271287144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 443 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 271287144 is about 16470.7967020421. The cubic root of 271287144 is about 647.3558413536.

The spelling of 271287144 in words is "two hundred seventy-one million, two hundred eighty-seven thousand, one hundred forty-four".