213140592 has 120 divisors (see below), whose sum is σ = 711747600. Its totient is φ = 60891264.

The previous prime is 213140581. The next prime is 213140617. The reversal of 213140592 is 295041312.

213140592 is a `hidden beast` number, since 2 + 1 + 31 + 40 + 592 = 666.

It is a super-2 number, since 2×213140592² = 90857823916220928, which contains 22 as substring.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16134 + ... + 26202.

It is an arithmetic number, because the mean of its divisors is an integer number (5931230).

Almost surely, 2^213140592 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 213140592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355873800).

213140592 is an abundant number, since it is smaller than the sum of its proper divisors (498607008).

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

213140592 is a wasteful number, since it uses less digits than its factorization.

213140592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10100 (or 10081 counting only the distinct ones).

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

The square root of 213140592 is about 14599.3353273360. The cubic root of 213140592 is about 597.3406303362.

The spelling of 213140592 in words is "two hundred thirteen million, one hundred forty thousand, five hundred ninety-two".