134213200 has 180 divisors, whose sum is σ = 368101440. Its totient is φ = 46956800.

The previous prime is 134213111. The next prime is 134213231. The reversal of 134213200 is 2312431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 2274771 + ... + 2274829.

It is an arithmetic number, because the mean of its divisors is an integer number (2045008).

Almost surely, 2^134213200 is an apocalyptic number.

134213200 is a gapful number since it is divisible by the number (10) 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 134213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184050720).

134213200 is an abundant number, since it is smaller than the sum of its proper divisors (233888240).

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

134213200 is a wasteful number, since it uses less digits than its factorization.

134213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 134213200 is about 11585.0420801998. The cubic root of 134213200 is about 511.9942422855.

Adding to 134213200 its reverse (2312431), we get a palindrome (136525631).

The spelling of 134213200 in words is "one hundred thirty-four million, two hundred thirteen thousand, two hundred".