456136 has 32 divisors (see below), whose sum is σ = 930240. Its totient is φ = 209088.

The previous prime is 456119. The next prime is 456149. The reversal of 456136 is 631654.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 456136.

It is a congruent number.

It is an unprimeable number.

456136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 6775 + ... + 6841.

It is an arithmetic number, because the mean of its divisors is an integer number (29070).

2⁴⁵⁶¹³⁶ is an apocalyptic number.

456136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

456136 is an abundant number, since it is smaller than the sum of its proper divisors (474104).

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

456136 is a wasteful number, since it uses less digits than its factorization.

456136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its digits is 2160, while the sum is 25.

The square root of 456136 is about 675.3784124474. The cubic root of 456136 is about 76.9776738555.

The spelling of 456136 in words is "four hundred fifty-six thousand, one hundred thirty-six".