134928800 has 72 divisors (see below), whose sum is σ = 331291296. Its totient is φ = 53661440.

The previous prime is 134928799. The next prime is 134928839. The reversal of 134928800 is 8829431.

It is a happy number.

134928800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 181229 + ... + 181971.

It is an arithmetic number, because the mean of its divisors is an integer number (4601268).

Almost surely, 2^134928800 is an apocalyptic number.

134928800 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 134928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165645648).

134928800 is an abundant number, since it is smaller than the sum of its proper divisors (196362496).

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

134928800 is a wasteful number, since it uses less digits than its factorization.

134928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 134928800 is about 11615.8856743685. The cubic root of 134928800 is about 512.9025827455.

The spelling of 134928800 in words is "one hundred thirty-four million, nine hundred twenty-eight thousand, eight hundred".