134200800 has 360 divisors, whose sum is σ = 519888600. Its totient is φ = 33592320.

The previous prime is 134200783. The next prime is 134200841. The reversal of 134200800 is 8002431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1231146 + ... + 1231254.

It is an arithmetic number, because the mean of its divisors is an integer number (1444135).

Almost surely, 2^134200800 is an apocalyptic number.

134200800 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 134200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259944300).

134200800 is an abundant number, since it is smaller than the sum of its proper divisors (385687800).

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

134200800 is a wasteful number, since it uses less digits than its factorization.

134200800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 134200800 is about 11584.5068949869. The cubic root of 134200800 is about 511.9784740299.

The spelling of 134200800 in words is "one hundred thirty-four million, two hundred thousand, eight hundred".