213138432 has 176 divisors, whose sum is σ = 680914080. Its totient is φ = 65470464.

The previous prime is 213138421. The next prime is 213138433. The reversal of 213138432 is 234831312.

213138432 is a `hidden beast` number, since 213 + 13 + 8 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213138396 and 213138405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213138433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359128 + ... + 359720.

It is an arithmetic number, because the mean of its divisors is an integer number (3868830).

Almost surely, 2^213138432 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 213138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340457040).

213138432 is an abundant number, since it is smaller than the sum of its proper divisors (467775648).

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

213138432 is a wasteful number, since it uses less digits than its factorization.

213138432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 611 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 213138432 is about 14599.2613511780. The cubic root of 213138432 is about 597.3386124817.

Adding to 213138432 its reverse (234831312), we get a palindrome (447969744).

The spelling of 213138432 in words is "two hundred thirteen million, one hundred thirty-eight thousand, four hundred thirty-two".