134792064 has 144 divisors (see below), whose sum is σ = 426786360. Its totient is φ = 40803840.

The previous prime is 134792059. The next prime is 134792071. The reversal of 134792064 is 460297431.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 138909 + ... + 139875.

Almost surely, 2^134792064 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 134792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213393180).

134792064 is an abundant number, since it is smaller than the sum of its proper divisors (291994296).

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

134792064 is a wasteful number, since it uses less digits than its factorization.

134792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 134792064 is about 11609.9984496123. The cubic root of 134792064 is about 512.7292667659.

Adding to 134792064 its sum of digits (36), we get a square (134792100 = 11610²).

The spelling of 134792064 in words is "one hundred thirty-four million, seven hundred ninety-two thousand, sixty-four".