134557200 has 150 divisors (see below), whose sum is σ = 483031274. Its totient is φ = 35873280.

The previous prime is 134557169. The next prime is 134557207. The reversal of 134557200 is 2755431.

It is a happy number.

134557200 is a `hidden beast` number, since 1 + 3 + 455 + 7 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1016064 + 133541136 = 1008^2 + 11556^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (134557207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30324 + ... + 34476.

Almost surely, 2^134557200 is an apocalyptic number.

134557200 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 134557200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241515637).

134557200 is an abundant number, since it is smaller than the sum of its proper divisors (348474074).

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

134557200 is a wasteful number, since it uses less digits than its factorization.

134557200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 134557200 is about 11599.8793097170. The cubic root of 134557200 is about 512.4312975525.

The spelling of 134557200 in words is "one hundred thirty-four million, five hundred fifty-seven thousand, two hundred".