173132064 has 144 divisors (see below), whose sum is σ = 567298368. Its totient is φ = 49061376.

The previous prime is 173132039. The next prime is 173132077. The reversal of 173132064 is 460231371.

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

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, 316239 + ... + 316785.

It is an arithmetic number, because the mean of its divisors is an integer number (3939572).

Almost surely, 2^173132064 is an apocalyptic number.

173132064 is a gapful number since it is divisible by the number (14) 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 173132064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283649184).

173132064 is an abundant number, since it is smaller than the sum of its proper divisors (394166304).

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

173132064 is a wasteful number, since it uses less digits than its factorization.

173132064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 173132064 is about 13157.9658002292. The cubic root of 173132064 is about 557.3472151993.

The spelling of 173132064 in words is "one hundred seventy-three million, one hundred thirty-two thousand, sixty-four".