31136719936 has 189 divisors, whose sum is σ = 75687878469. Its totient is φ = 12670952448.

The previous prime is 31136719931. The next prime is 31136719967. The reversal of 31136719936 is 63991763113.

It is a happy number.

The square root of 31136719936 is 176456.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18289857600 + 12846862336 = 135240^2 + 113344^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 31136719936.

It is not an unprimeable number, because it can be changed into a prime (31136719931) 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 26 ways as a sum of consecutive naturals, for example, 227275260 + ... + 227275396.

Almost surely, 2^31136719936 is an apocalyptic number.

31136719936 is the 176456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31136719936

31136719936 is an abundant number, since it is smaller than the sum of its proper divisors (44551158533).

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

31136719936 is an equidigital number, since it uses as much as digits as its factorization.

31136719936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 169 counting only the distinct ones).

The product of its digits is 551124, while the sum is 49.

Multiplying 31136719936 by its sum of digits (49), we get a square (1525699276864 = 1235192²).

31136719936 divided by its sum of digits (49) gives a square (635443264 = 25208²).

The spelling of 31136719936 in words is "thirty-one billion, one hundred thirty-six million, seven hundred nineteen thousand, nine hundred thirty-six".