213136000 has 256 divisors, whose sum is σ = 664485120. Its totient is φ = 66048000.

The previous prime is 213135997. The next prime is 213136039. The reversal of 213136000 is 631312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231914 + ... + 1232086.

It is an arithmetic number, because the mean of its divisors is an integer number (2595645).

Almost surely, 2^213136000 is an apocalyptic number.

213136000 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 213136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332242560).

213136000 is an abundant number, since it is smaller than the sum of its proper divisors (451349120).

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

213136000 is a wasteful number, since it uses less digits than its factorization.

213136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 213136000 is about 14599.1780590552. The cubic root of 213136000 is about 597.3363405107.

Adding to 213136000 its reverse (631312), we get a palindrome (213767312).

The spelling of 213136000 in words is "two hundred thirteen million, one hundred thirty-six thousand".