185135134464 has 180 divisors, whose sum is σ = 630902748784. Its totient is φ = 52895711232.

The previous prime is 185135134463. The next prime is 185135134511. The reversal of 185135134464 is 464431531581.

It is a happy number.

185135134464 is a `hidden beast` number, since 1 + 8 + 51 + 3 + 5 + 134 + 464 = 666.

185135134464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185135134463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 492577 + ... + 782880.

Almost surely, 2^185135134464 is an apocalyptic number.

185135134464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

185135134464 is an abundant number, since it is smaller than the sum of its proper divisors (445767614320).

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

185135134464 is an equidigital number, since it uses as much as digits as its factorization.

185135134464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275492 (or 1275469 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 185135134464 in words is "one hundred eighty-five billion, one hundred thirty-five million, one hundred thirty-four thousand, four hundred sixty-four".