271989144 has 128 divisors (see below), whose sum is σ = 893376000. Its totient is φ = 75019392.

The previous prime is 271989139. The next prime is 271989149. The reversal of 271989144 is 441989172.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (271989139) and next prime (271989149).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 271989144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271989149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40747 + ... + 46949.

It is an arithmetic number, because the mean of its divisors is an integer number (6979500).

Almost surely, 2^271989144 is an apocalyptic number.

271989144 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 271989144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446688000).

271989144 is an abundant number, since it is smaller than the sum of its proper divisors (621386856).

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

271989144 is a wasteful number, since it uses less digits than its factorization.

271989144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6254 (or 6244 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 271989144 is about 16492.0933783435. The cubic root of 271989144 is about 647.9137402326.

The spelling of 271989144 in words is "two hundred seventy-one million, nine hundred eighty-nine thousand, one hundred forty-four".