456136065 has 48 divisors (see below), whose sum is σ = 985735296. Its totient is φ = 189561600.

The previous prime is 456136063. The next prime is 456136123. The reversal of 456136065 is 560631654.

456136065 is a `hidden beast` number, since 4 + 561 + 36 + 0 + 65 = 666.

It is not a de Polignac number, because 456136065 - 2¹ = 456136063 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (456136063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62356 + ... + 69285.

It is an arithmetic number, because the mean of its divisors is an integer number (20536152).

Almost surely, 2^456136065 is an apocalyptic number.

456136065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

456136065 is an abundant number, since it is smaller than the sum of its proper divisors (529599231).

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

456136065 is a wasteful number, since it uses less digits than its factorization.

456136065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131670 (or 131667 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 456136065 is about 21357.3421801497. The cubic root of 456136065 is about 769.7767751197.

The spelling of 456136065 in words is "four hundred fifty-six million, one hundred thirty-six thousand, sixty-five".