134214000 has 80 divisors (see below), whose sum is σ = 432725280. Its totient is φ = 35788800.

The previous prime is 134213983. The next prime is 134214007. The reversal of 134214000 is 412431.

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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134214007) by changing a digit.

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, 5185 + ... + 17184.

It is an arithmetic number, because the mean of its divisors is an integer number (5409066).

Almost surely, 2^134214000 is an apocalyptic number.

134214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134214000 is an abundant number, since it is smaller than the sum of its proper divisors (298511280).

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

134214000 is a wasteful number, since it uses less digits than its factorization.

134214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22395 (or 22379 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 134214000 is about 11585.0766074291. The cubic root of 134214000 is about 511.9952595590.

Adding to 134214000 its reverse (412431), we get a palindrome (134626431).

The spelling of 134214000 in words is "one hundred thirty-four million, two hundred fourteen thousand".