31271237136 has 100 divisors (see below), whose sum is σ = 91441472892. Its totient is φ = 10316242944.

The previous prime is 31271237113. The next prime is 31271237143. The reversal of 31271237136 is 63173217213.

It can be written as a sum of positive squares in 2 ways, for example, as 20529158400 + 10742078736 = 143280^2 + 103644^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 31271237136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1336 + ... + 250088.

Almost surely, 2^31271237136 is an apocalyptic number.

31271237136 is a gapful number since it is divisible by the number (36) 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 31271237136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45720736446).

31271237136 is an abundant number, since it is smaller than the sum of its proper divisors (60170235756).

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

31271237136 is a wasteful number, since it uses less digits than its factorization.

31271237136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248870 (or 248855 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The spelling of 31271237136 in words is "thirty-one billion, two hundred seventy-one million, two hundred thirty-seven thousand, one hundred thirty-six".