214141152 has 48 divisors (see below), whose sum is σ = 564423552. Its totient is φ = 71088000.

The previous prime is 214141099. The next prime is 214141159. The reversal of 214141152 is 251141412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214141159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19653 + ... + 28539.

It is an arithmetic number, because the mean of its divisors is an integer number (11758824).

Almost surely, 2^214141152 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 214141152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282211776).

214141152 is an abundant number, since it is smaller than the sum of its proper divisors (350282400).

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

214141152 is a wasteful number, since it uses less digits than its factorization.

214141152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9151 (or 9143 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 214141152 is about 14633.5625190860. The cubic root of 214141152 is about 598.2738834089.

Adding to 214141152 its reverse (251141412), we get a palindrome (465282564).

The spelling of 214141152 in words is "two hundred fourteen million, one hundred forty-one thousand, one hundred fifty-two".