152320064 has 112 divisors (see below), whose sum is σ = 345643200. Its totient is φ = 66103296.

The previous prime is 152320057. The next prime is 152320067. The reversal of 152320064 is 460023251.

It is not an unprimeable number, because it can be changed into a prime (152320067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1423499 + ... + 1423605.

It is an arithmetic number, because the mean of its divisors is an integer number (3086100).

Almost surely, 2^152320064 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 152320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172821600).

152320064 is an abundant number, since it is smaller than the sum of its proper divisors (193323136).

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

152320064 is a wasteful number, since it uses less digits than its factorization.

152320064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 152320064 is about 12341.8014892478. The cubic root of 152320064 is about 534.0546545452.

The spelling of 152320064 in words is "one hundred fifty-two million, three hundred twenty thousand, sixty-four".