213506132 has 72 divisors (see below), whose sum is σ = 454860000. Its totient is φ = 87345216.

The previous prime is 213506131. The next prime is 213506141. The reversal of 213506132 is 231605312.

213506132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213506098 and 213506107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213506131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427619 + ... + 428117.

It is an arithmetic number, because the mean of its divisors is an integer number (6317500).

Almost surely, 2^213506132 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 213506132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227430000).

213506132 is an abundant number, since it is smaller than the sum of its proper divisors (241353868).

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

213506132 is a wasteful number, since it uses less digits than its factorization.

213506132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 213506132 is about 14611.8490274161. The cubic root of 213506132 is about 597.6819186613.

The spelling of 213506132 in words is "two hundred thirteen million, five hundred six thousand, one hundred thirty-two".