214125139200 has 1296 divisors, whose sum is σ = 864508001280. Its totient is φ = 46495088640.

The previous prime is 214125139199. The next prime is 214125139219. The reversal of 214125139200 is 2931521412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2710444761 + ... + 2710444839.

Almost surely, 2^214125139200 is an apocalyptic number.

214125139200 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 214125139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432254000640).

214125139200 is an abundant number, since it is smaller than the sum of its proper divisors (650382862080).

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

214125139200 is a wasteful number, since it uses less digits than its factorization.

214125139200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 214125139200 in words is "two hundred fourteen billion, one hundred twenty-five million, one hundred thirty-nine thousand, two hundred".