152064 has 80 divisors (see below), whose sum is σ = 491040. Its totient is φ = 46080.
The previous prime is 152063. The next prime is 152077. The reversal of 152064 is 460251.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nialpdrome in base 12.
It is not an unprimeable number, because it can be changed into a prime (152063) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13819 + ... + 13829.
It is an arithmetic number, because the mean of its divisors is an integer number (6138).
2152064 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 152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245520).
152064 is an abundant number, since it is smaller than the sum of its proper divisors (338976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
152064 is an equidigital number, since it uses as much as digits as its factorization.
152064 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 38 (or 16 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 152064 is about 389.9538434225. The cubic root of 152064 is about 53.3755221737.
152064 divided by its sum of digits (18) gives a palindrome (8448).
The spelling of 152064 in words is "one hundred fifty-two thousand, sixty-four".
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