214125000 has 112 divisors (see below), whose sum is σ = 670303920. Its totient is φ = 57000000.

The previous prime is 214124923. The next prime is 214125017. The reversal of 214125000 is 521412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 374715 + ... + 375285.

Almost surely, 2^214125000 is an apocalyptic number.

214125000 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 214125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335151960).

214125000 is an abundant number, since it is smaller than the sum of its proper divisors (456178920).

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

214125000 is an frugal number, since it uses more digits than its factorization.

214125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 214125000 is about 14633.0106266619. The cubic root of 214125000 is about 598.2588410523.

Adding to 214125000 its reverse (521412), we get a palindrome (214646412).

The spelling of 214125000 in words is "two hundred fourteen million, one hundred twenty-five thousand".