134564000 has 48 divisors (see below), whose sum is σ = 330633576. Its totient is φ = 53824000.

The previous prime is 134563981. The next prime is 134564029. The reversal of 134564000 is 465431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61905424 + 72658576 = 7868^2 + 8524^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12821 + ... + 20820.

Almost surely, 2^134564000 is an apocalyptic number.

134564000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134564000 is an abundant number, since it is smaller than the sum of its proper divisors (196069576).

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

134564000 is an equidigital number, since it uses as much as digits as its factorization.

134564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33666 (or 33648 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 134564000 is about 11600.1724125118. The cubic root of 134564000 is about 512.4399295051.

The spelling of 134564000 in words is "one hundred thirty-four million, five hundred sixty-four thousand".