158064 has 40 divisors (see below), whose sum is σ = 424080. Its totient is φ = 50688.

The previous prime is 158047. The next prime is 158071. The reversal of 158064 is 460851.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 158064.

It is an unprimeable number.

158064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1732 + ... + 1820.

It is an arithmetic number, because the mean of its divisors is an integer number (10602).

2¹⁵⁸⁰⁶⁴ 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 158064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212040).

158064 is an abundant number, since it is smaller than the sum of its proper divisors (266016).

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

158064 is a wasteful number, since it uses less digits than its factorization.

158064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 158064 is about 397.5726348732. The cubic root of 158064 is about 54.0685001749.

The spelling of 158064 in words is "one hundred fifty-eight thousand, sixty-four".