281260128132 has 144 divisors (see below), whose sum is σ = 747685738800. Its totient is φ = 89030430720.

The previous prime is 281260128077. The next prime is 281260128143. The reversal of 281260128132 is 231821062182.

It is a happy number.

281260128132 is a `hidden beast` number, since 2 + 8 + 12 + 601 + 2 + 8 + 1 + 32 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5105674116 + 276154454016 = 71454^2 + 525504^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15581032 + ... + 15599072.

It is an arithmetic number, because the mean of its divisors is an integer number (5192262075).

Almost surely, 2^281260128132 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 281260128132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373842869400).

281260128132 is an abundant number, since it is smaller than the sum of its proper divisors (466425610668).

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

281260128132 is a wasteful number, since it uses less digits than its factorization.

281260128132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18326 (or 18321 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 281260128132 in words is "two hundred eighty-one billion, two hundred sixty million, one hundred twenty-eight thousand, one hundred thirty-two".