213145692 has 96 divisors (see below), whose sum is σ = 537062400. Its totient is φ = 65640960.

The previous prime is 213145687. The next prime is 213145703. The reversal of 213145692 is 296541312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1430434 + ... + 1430582.

It is an arithmetic number, because the mean of its divisors is an integer number (5594400).

Almost surely, 2^213145692 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 213145692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268531200).

213145692 is an abundant number, since it is smaller than the sum of its proper divisors (323916708).

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

213145692 is a wasteful number, since it uses less digits than its factorization.

213145692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 321 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 213145692 is about 14599.5099917771. The cubic root of 213145692 is about 597.3453946608.

The spelling of 213145692 in words is "two hundred thirteen million, one hundred forty-five thousand, six hundred ninety-two".