31036067136 has 448 divisors, whose sum is σ = 100809308160. Its totient is φ = 9320693760.

The previous prime is 31036067107. The next prime is 31036067137. The reversal of 31036067136 is 63176063013.

31036067136 is a `hidden beast` number, since 3 + 10 + 3 + 606 + 7 + 1 + 36 = 666.

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 31036067136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31036067137) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 157543390 + ... + 157543586.

Almost surely, 2^31036067136 is an apocalyptic number.

31036067136 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 31036067136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50404654080).

31036067136 is an abundant number, since it is smaller than the sum of its proper divisors (69773241024).

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

31036067136 is a wasteful number, since it uses less digits than its factorization.

31036067136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 31036067136 in words is "thirty-one billion, thirty-six million, sixty-seven thousand, one hundred thirty-six".