213949152 has 72 divisors (see below), whose sum is σ = 623291760. Its totient is φ = 69573120.

The previous prime is 213949061. The next prime is 213949187. The reversal of 213949152 is 251949312.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2749 + ... + 20867.

It is an arithmetic number, because the mean of its divisors is an integer number (8656830).

Almost surely, 2^213949152 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 213949152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311645880).

213949152 is an abundant number, since it is smaller than the sum of its proper divisors (409342608).

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

213949152 is a wasteful number, since it uses less digits than its factorization.

213949152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18176 (or 18165 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 213949152 is about 14627.0007862172. Note that the first 3 decimals coincide. The cubic root of 213949152 is about 598.0950248504.

The spelling of 213949152 in words is "two hundred thirteen million, nine hundred forty-nine thousand, one hundred fifty-two".