213712128 has 216 divisors, whose sum is σ = 736330560. Its totient is φ = 60963840.

The previous prime is 213712087. The next prime is 213712139. The reversal of 213712128 is 821217312.

213712128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338373 + ... + 339003.

Almost surely, 2^213712128 is an apocalyptic number.

213712128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368165280).

213712128 is an abundant number, since it is smaller than the sum of its proper divisors (522618432).

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

213712128 is an equidigital number, since it uses as much as digits as its factorization.

213712128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 643 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 213712128 is about 14618.8962647664. The cubic root of 213712128 is about 597.8740763106.

The spelling of 213712128 in words is "two hundred thirteen million, seven hundred twelve thousand, one hundred twenty-eight".