213742176 has 48 divisors (see below), whose sum is σ = 564218928. Its totient is φ = 70848000.

The previous prime is 213742169. The next prime is 213742213. The reversal of 213742176 is 671247312.

213742176 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11226 + ... + 23526.

It is an arithmetic number, because the mean of its divisors is an integer number (11754561).

Almost surely, 2^213742176 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 213742176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282109464).

213742176 is an abundant number, since it is smaller than the sum of its proper divisors (350476752).

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

213742176 is a wasteful number, since it uses less digits than its factorization.

213742176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12495 (or 12487 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 213742176 is about 14619.9239396106. The cubic root of 213742176 is about 597.9020954323.

Adding to 213742176 its reverse (671247312), we get a palindrome (884989488).

The spelling of 213742176 in words is "two hundred thirteen million, seven hundred forty-two thousand, one hundred seventy-six".