31965632136 has 48 divisors (see below), whose sum is σ = 86607658800. Its totient is φ = 10651017312.

The previous prime is 31965632131. The next prime is 31965632137. The reversal of 31965632136 is 63123656913.

31965632136 is a `hidden beast` number, since 3 + 1 + 9 + 6 + 5 + 632 + 1 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31965632091 and 31965632100.

It is not an unprimeable number, because it can be changed into a prime (31965632131) 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 11 ways as a sum of consecutive naturals, for example, 99615 + ... + 271761.

It is an arithmetic number, because the mean of its divisors is an integer number (1804326225).

Almost surely, 2^31965632136 is an apocalyptic number.

31965632136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31965632136 is an abundant number, since it is smaller than the sum of its proper divisors (54642026664).

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

31965632136 is a wasteful number, since it uses less digits than its factorization.

31965632136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174738 (or 174731 counting only the distinct ones).

The product of its digits is 524880, while the sum is 45.

The spelling of 31965632136 in words is "thirty-one billion, nine hundred sixty-five million, six hundred thirty-two thousand, one hundred thirty-six".