31076136000 has 2240 divisors, whose sum is σ = 154651521024. Its totient is φ = 5971968000.

The previous prime is 31076135977. The next prime is 31076136011. The reversal of 31076136000 is 63167013.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1002455985 + ... + 1002456015.

Almost surely, 2^31076136000 is an apocalyptic number.

31076136000 is a gapful number since it is divisible by the number (30) 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 31076136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77325760512).

31076136000 is an abundant number, since it is smaller than the sum of its proper divisors (123575385024).

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

31076136000 is a wasteful number, since it uses less digits than its factorization.

31076136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 31076136000 in words is "thirty-one billion, seventy-six million, one hundred thirty-six thousand".