213366132 has 144 divisors (see below), whose sum is σ = 640628352. Its totient is φ = 58613760.

The previous prime is 213366121. The next prime is 213366157. The reversal of 213366132 is 231663312.

It is a happy number.

213366132 is a `hidden beast` number, since 2 + 13 + 36 + 613 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213366096 and 213366105.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1105428 + ... + 1105620.

It is an arithmetic number, because the mean of its divisors is an integer number (4448808).

Almost surely, 2^213366132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213366132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320314176).

213366132 is an abundant number, since it is smaller than the sum of its proper divisors (427262220).

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

213366132 is a wasteful number, since it uses less digits than its factorization.

213366132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 353 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 213366132 is about 14607.0576092518. The cubic root of 213366132 is about 597.5512529927.

It can be divided in two parts, 2133 and 66132, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 213366132 in words is "two hundred thirteen million, three hundred sixty-six thousand, one hundred thirty-two".