134221200 has 120 divisors (see below), whose sum is σ = 441721728. Its totient is φ = 34813440.

The previous prime is 134221147. The next prime is 134221207. The reversal of 134221200 is 2122431.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 134221200.

It is not an unprimeable number, because it can be changed into a prime (134221207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42889 + ... + 45911.

Almost surely, 2^134221200 is an apocalyptic number.

134221200 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 134221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220860864).

134221200 is an abundant number, since it is smaller than the sum of its proper divisors (307500528).

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

134221200 is a wasteful number, since it uses less digits than its factorization.

134221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081 (or 3070 counting only the distinct ones).

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

The square root of 134221200 is about 11585.3873478620. The cubic root of 134221200 is about 512.0044148382.

Adding to 134221200 its reverse (2122431), we get a palindrome (136343631).

It can be divided in two parts, 134221 and 200, that added together give a triangular number (134421 = T₅₁₈).

The spelling of 134221200 in words is "one hundred thirty-four million, two hundred twenty-one thousand, two hundred".