213134004 has 60 divisors (see below), whose sum is σ = 559396068. Its totient is φ = 70761600.

The previous prime is 213134003. The next prime is 213134011. The reversal of 213134004 is 400431312.

It can be written as a sum of positive squares in 2 ways, for example, as 141562404 + 71571600 = 11898^2 + 8460^2 .

It is a super-2 number, since 2×213134004² = 90852207322144032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213134003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 89874 + ... + 92214.

Almost surely, 2^213134004 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 213134004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279698034).

213134004 is an abundant number, since it is smaller than the sum of its proper divisors (346262064).

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

213134004 is a wasteful number, since it uses less digits than its factorization.

213134004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213134004 is about 14599.1096988823. The cubic root of 213134004 is about 597.3344758373.

Adding to 213134004 its reverse (400431312), we get a palindrome (613565316).

The spelling of 213134004 in words is "two hundred thirteen million, one hundred thirty-four thousand, four".