213661152 has 192 divisors, whose sum is σ = 654635520. Its totient is φ = 68584320.

The previous prime is 213661141. The next prime is 213661163. The reversal of 213661152 is 251166312.

213661152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213661141) and next prime (213661163).

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

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, 3009277 + ... + 3009347.

It is an arithmetic number, because the mean of its divisors is an integer number (3409560).

Almost surely, 2^213661152 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 213661152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327317760).

213661152 is an abundant number, since it is smaller than the sum of its proper divisors (440974368).

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

213661152 is an frugal number, since it uses more digits than its factorization.

213661152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 213661152 is about 14617.1526639082. The cubic root of 213661152 is about 597.8265362658.

The spelling of 213661152 in words is "two hundred thirteen million, six hundred sixty-one thousand, one hundred fifty-two".