213504137 has 24 divisors (see below), whose sum is σ = 271524288. Its totient is φ = 164308320.

The previous prime is 213504133. The next prime is 213504157. The reversal of 213504137 is 731405312.

It is not a de Polignac number, because 213504137 - 2² = 213504133 is a prime.

It is a super-2 number, since 2×213504137² = 91168033032229538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213504133) 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 23 ways as a sum of consecutive naturals, for example, 68783 + ... + 71819.

It is an arithmetic number, because the mean of its divisors is an integer number (11313512).

Almost surely, 2^213504137 is an apocalyptic number.

It is an amenable number.

213504137 is a deficient number, since it is larger than the sum of its proper divisors (58020151).

213504137 is a wasteful number, since it uses less digits than its factorization.

213504137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 213504137 is about 14611.7807607423. The cubic root of 213504137 is about 597.6800570768.

Adding to 213504137 its reverse (731405312), we get a palindrome (944909449).

The spelling of 213504137 in words is "two hundred thirteen million, five hundred four thousand, one hundred thirty-seven".