134912800 has 72 divisors (see below), whose sum is σ = 359320752. Its totient is φ = 49056000.

The previous prime is 134912797. The next prime is 134912809. The reversal of 134912800 is 8219431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (134912809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1135 + ... + 16465.

It is an arithmetic number, because the mean of its divisors is an integer number (4990566).

Almost surely, 2^134912800 is an apocalyptic number.

134912800 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 134912800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179660376).

134912800 is an abundant number, since it is smaller than the sum of its proper divisors (224407952).

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

134912800 is a wasteful number, since it uses less digits than its factorization.

134912800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15362 (or 15349 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 134912800 is about 11615.1969419377. The cubic root of 134912800 is about 512.8823084336.

The spelling of 134912800 in words is "one hundred thirty-four million, nine hundred twelve thousand, eight hundred".