214132500 has 180 divisors, whose sum is σ = 700475776. Its totient is φ = 55080000.

The previous prime is 214132483. The next prime is 214132543. The reversal of 214132500 is 5231412.

214132500 is a `hidden beast` number, since 2 + 1 + 413 + 250 + 0 = 666.

214132500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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 59 ways as a sum of consecutive naturals, for example, 697347 + ... + 697653.

Almost surely, 2^214132500 is an apocalyptic number.

214132500 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 214132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350237888).

214132500 is an abundant number, since it is smaller than the sum of its proper divisors (486343276).

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

214132500 is a wasteful number, since it uses less digits than its factorization.

214132500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 214132500 is about 14633.2668943063. The cubic root of 214132500 is about 598.2658258959.

Adding to 214132500 its reverse (5231412), we get a palindrome (219363912).

The spelling of 214132500 in words is "two hundred fourteen million, one hundred thirty-two thousand, five hundred".