31134536000 has 112 divisors (see below), whose sum is σ = 78412726080. Its totient is φ = 12242547200.

The previous prime is 31134535987. The next prime is 31134536003. The reversal of 31134536000 is 63543113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31134536003) 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 15 ways as a sum of consecutive naturals, for example, 439019 + ... + 504981.

Almost surely, 2^31134536000 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 31134536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39206363040).

31134536000 is an abundant number, since it is smaller than the sum of its proper divisors (47278190080).

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

31134536000 is an equidigital number, since it uses as much as digits as its factorization.

31134536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66049 (or 66029 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The spelling of 31134536000 in words is "thirty-one billion, one hundred thirty-four million, five hundred thirty-six thousand".