86130800145 has 96 divisors (see below), whose sum is σ = 166061871360. Its totient is φ = 42337451520.

The previous prime is 86130800137. The next prime is 86130800149. The reversal of 86130800145 is 54100803168.

It is not a de Polignac number, because 86130800145 - 2³ = 86130800137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86130800149) 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 95 ways as a sum of consecutive naturals, for example, 16949005 + ... + 16954085.

It is an arithmetic number, because the mean of its divisors is an integer number (1729811160).

Almost surely, 2^86130800145 is an apocalyptic number.

It is an amenable number.

86130800145 is a deficient number, since it is larger than the sum of its proper divisors (79931071215).

86130800145 is a wasteful number, since it uses less digits than its factorization.

86130800145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 86130800145 in words is "eighty-six billion, one hundred thirty million, eight hundred thousand, one hundred forty-five".