213409152 has 144 divisors (see below), whose sum is σ = 675451140. Its totient is φ = 64627200.

The previous prime is 213409151. The next prime is 213409153. The reversal of 213409152 is 251904312.

It is an interprime number because it is at equal distance from previous prime (213409151) and next prime (213409153).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213409151) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138627 + ... + 140157.

Almost surely, 2^213409152 is an apocalyptic number.

213409152 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 213409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337725570).

213409152 is an abundant number, since it is smaller than the sum of its proper divisors (462041988).

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

213409152 is a wasteful number, since it uses less digits than its factorization.

213409152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1547 counting only the distinct ones).

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

The square root of 213409152 is about 14608.5301108633. The cubic root of 213409152 is about 597.5914107678.

The spelling of 213409152 in words is "two hundred thirteen million, four hundred nine thousand, one hundred fifty-two".