213142608 has 240 divisors, whose sum is σ = 742809600. Its totient is φ = 55676160.

The previous prime is 213142591. The next prime is 213142613. The reversal of 213142608 is 806241312.

213142608 is a `hidden beast` number, since 2 + 13 + 1 + 42 + 608 = 666.

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 47 ways as a sum of consecutive naturals, for example, 593533 + ... + 593891.

It is an arithmetic number, because the mean of its divisors is an integer number (3095040).

Almost surely, 2^213142608 is an apocalyptic number.

213142608 is a gapful number since it is divisible by the number (28) 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 213142608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371404800).

213142608 is an abundant number, since it is smaller than the sum of its proper divisors (529666992).

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

213142608 is a wasteful number, since it uses less digits than its factorization.

213142608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 213142608 is about 14599.4043714119. The cubic root of 213142608 is about 597.3425136548.

The spelling of 213142608 in words is "two hundred thirteen million, one hundred forty-two thousand, six hundred eight".