134928000 has 192 divisors, whose sum is σ = 485077320. Its totient is φ = 35942400.

The previous prime is 134927999. The next prime is 134928029. The reversal of 134928000 is 829431.

It can be written as a sum of positive squares in 4 ways, for example, as 11451456 + 123476544 = 3384^2 + 11112^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143532 + ... + 144468.

Almost surely, 2^134928000 is an apocalyptic number.

134928000 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 134928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242538660).

134928000 is an abundant number, since it is smaller than the sum of its proper divisors (350149320).

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

134928000 is an equidigital number, since it uses as much as digits as its factorization.

134928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 134928000 is about 11615.8512387169. The cubic root of 134928000 is about 512.9015690679.

The spelling of 134928000 in words is "one hundred thirty-four million, nine hundred twenty-eight thousand".