213725160 has 192 divisors, whose sum is σ = 782645760. Its totient is φ = 50112000.

The previous prime is 213725147. The next prime is 213725201. The reversal of 213725160 is 61527312.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121890 + ... + 123630.

It is an arithmetic number, because the mean of its divisors is an integer number (4076280).

Almost surely, 2^213725160 is an apocalyptic number.

213725160 is a gapful number since it is divisible by the number (20) 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 213725160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391322880).

213725160 is an abundant number, since it is smaller than the sum of its proper divisors (568920600).

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

213725160 is a wasteful number, since it uses less digits than its factorization.

213725160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 213725160 is about 14619.3419824560. The cubic root of 213725160 is about 597.8862286963.

The spelling of 213725160 in words is "two hundred thirteen million, seven hundred twenty-five thousand, one hundred sixty".