135044064 has 96 divisors (see below), whose sum is σ = 396900000. Its totient is φ = 44669952.

The previous prime is 135044023. The next prime is 135044083. The reversal of 135044064 is 460440531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128212 + ... + 129260.

It is an arithmetic number, because the mean of its divisors is an integer number (4134375).

Almost surely, 2^135044064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135044064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198450000).

135044064 is an abundant number, since it is smaller than the sum of its proper divisors (261855936).

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

135044064 is a wasteful number, since it uses less digits than its factorization.

135044064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 135044064 is about 11620.8460965628. The cubic root of 135044064 is about 513.0485915465.

Adding to 135044064 its reverse (460440531), we get a palindrome (595484595).

The spelling of 135044064 in words is "one hundred thirty-five million, forty-four thousand, sixty-four".