214256133 has 48 divisors (see below), whose sum is σ = 383999616. Its totient is φ = 112095360.

The previous prime is 214256101. The next prime is 214256149. The reversal of 214256133 is 331652412.

214256133 is a `hidden beast` number, since 2 + 1 + 42 + 5 + 613 + 3 = 666.

It is not a de Polignac number, because 214256133 - 2⁵ = 214256101 is a prime.

It is a super-2 number, since 2×214256133² = 91811381056227378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 214256097 and 214256106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214256183) 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, 106291 + ... + 108287.

It is an arithmetic number, because the mean of its divisors is an integer number (7999992).

Almost surely, 2^214256133 is an apocalyptic number.

It is an amenable number.

214256133 is a deficient number, since it is larger than the sum of its proper divisors (169743483).

214256133 is a wasteful number, since it uses less digits than its factorization.

214256133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2151 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 214256133 is about 14637.4906660944. The cubic root of 214256133 is about 598.3809433557.

The spelling of 214256133 in words is "two hundred fourteen million, two hundred fifty-six thousand, one hundred thirty-three".