134055200 has 72 divisors (see below), whose sum is σ = 346548132. Its totient is φ = 50462720.

The previous prime is 134055193. The next prime is 134055211. The reversal of 134055200 is 2550431.

It can be written as a sum of positive squares in 6 ways, for example, as 58920976 + 75134224 = 7676^2 + 8668^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8672 + ... + 18528.

Almost surely, 2^134055200 is an apocalyptic number.

134055200 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 134055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173274066).

134055200 is an abundant number, since it is smaller than the sum of its proper divisors (212492932).

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

134055200 is a wasteful number, since it uses less digits than its factorization.

134055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9894 (or 9881 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 134055200 is about 11578.2209341505. The cubic root of 134055200 is about 511.7932514859.

The spelling of 134055200 in words is "one hundred thirty-four million, fifty-five thousand, two hundred".