134180800 has 84 divisors (see below), whose sum is σ = 355621336. Its totient is φ = 49536000.

The previous prime is 134180791. The next prime is 134180801. The reversal of 134180800 is 8081431.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134180801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17575 + ... + 24025.

Almost surely, 2^134180800 is an apocalyptic number.

134180800 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 134180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177810668).

134180800 is an abundant number, since it is smaller than the sum of its proper divisors (221440536).

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

134180800 is a wasteful number, since it uses less digits than its factorization.

134180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6486 (or 6471 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 134180800 is about 11583.6436409275. The cubic root of 134180800 is about 511.9530393127.

The spelling of 134180800 in words is "one hundred thirty-four million, one hundred eighty thousand, eight hundred".