214001136 has 80 divisors (see below), whose sum is σ = 616032000. Its totient is φ = 71128512.

The previous prime is 214001129. The next prime is 214001147. The reversal of 214001136 is 631100412.

It is a happy number.

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

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 15 ways as a sum of consecutive naturals, for example, 258355 + ... + 259181.

It is an arithmetic number, because the mean of its divisors is an integer number (7700400).

Almost surely, 2^214001136 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 214001136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308016000).

214001136 is an abundant number, since it is smaller than the sum of its proper divisors (402030864).

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

214001136 is a wasteful number, since it uses less digits than its factorization.

214001136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 214001136 is about 14628.7776659569. Note that the first 3 decimals coincide. The cubic root of 214001136 is about 598.1434613655.

Adding to 214001136 its reverse (631100412), we get a palindrome (845101548).

The spelling of 214001136 in words is "two hundred fourteen million, one thousand, one hundred thirty-six".