213123152 has 160 divisors (see below), whose sum is σ = 527109120. Its totient is φ = 82114560.

The previous prime is 213123149. The next prime is 213123187. The reversal of 213123152 is 251321312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1307423 + ... + 1307585.

It is an arithmetic number, because the mean of its divisors is an integer number (3294432).

Almost surely, 2^213123152 is an apocalyptic number.

213123152 is a gapful number since it is divisible by the number (22) 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 213123152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263554560).

213123152 is an abundant number, since it is smaller than the sum of its proper divisors (313985968).

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

213123152 is a wasteful number, since it uses less digits than its factorization.

213123152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its digits is 360, while the sum is 20.

The square root of 213123152 is about 14598.7380276516. The cubic root of 213123152 is about 597.3243376400.

Adding to 213123152 its reverse (251321312), we get a palindrome (464444464).

The spelling of 213123152 in words is "two hundred thirteen million, one hundred twenty-three thousand, one hundred fifty-two".