214137000 has 512 divisors, whose sum is σ = 934502400. Its totient is φ = 44064000.

The previous prime is 214136971. The next prime is 214137017. The reversal of 214137000 is 731412.

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

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 127 ways as a sum of consecutive naturals, for example, 2078949 + ... + 2079051.

It is an arithmetic number, because the mean of its divisors is an integer number (1825200).

Almost surely, 2^214137000 is an apocalyptic number.

214137000 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 214137000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467251200).

214137000 is an abundant number, since it is smaller than the sum of its proper divisors (720365400).

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

214137000 is a wasteful number, since it uses less digits than its factorization.

214137000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 214137000 is about 14633.4206527387. The cubic root of 214137000 is about 598.2700167238.

Adding to 214137000 its reverse (731412), we get a palindrome (214868412).

The spelling of 214137000 in words is "two hundred fourteen million, one hundred thirty-seven thousand".