271134540 has 144 divisors (see below), whose sum is σ = 871782912. Its totient is φ = 70704576.

The previous prime is 271134491. The next prime is 271134571. The reversal of 271134540 is 45431172.

271134540 is a `hidden beast` number, since 2 + 7 + 113 + 4 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227827 + ... + 229013.

It is an arithmetic number, because the mean of its divisors is an integer number (6054048).

Almost surely, 2^271134540 is an apocalyptic number.

271134540 is a gapful number since it is divisible by the number (20) 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 271134540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435891456).

271134540 is an abundant number, since it is smaller than the sum of its proper divisors (600648372).

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

271134540 is a wasteful number, since it uses less digits than its factorization.

271134540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 271134540 is about 16466.1634875887. The cubic root of 271134540 is about 647.2344354038.

The spelling of 271134540 in words is "two hundred seventy-one million, one hundred thirty-four thousand, five hundred forty".