214023134000 has 80 divisors (see below), whose sum is σ = 557316308640. Its totient is φ = 79023916800.

The previous prime is 214023133997. The next prime is 214023134011. The reversal of 214023134000 is 431320412.

214023134000 is digitally balanced in base 2, 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4089830 + ... + 4141829.

It is an arithmetic number, because the mean of its divisors is an integer number (6966453858).

Almost surely, 2^214023134000 is an apocalyptic number.

214023134000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214023134000 is an abundant number, since it is smaller than the sum of its proper divisors (343293174640).

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

214023134000 is a wasteful number, since it uses less digits than its factorization.

214023134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231695 (or 8231679 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 214023134000 its reverse (431320412), we get a palindrome (214454454412).

The spelling of 214023134000 in words is "two hundred fourteen billion, twenty-three million, one hundred thirty-four thousand".