152960064 has 56 divisors (see below), whose sum is σ = 406237440. Its totient is φ = 50793984.

The previous prime is 152960021. The next prime is 152960081. The reversal of 152960064 is 460069251.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54897 + ... + 57615.

It is an arithmetic number, because the mean of its divisors is an integer number (7254240).

Almost surely, 2^152960064 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 152960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203118720).

152960064 is an abundant number, since it is smaller than the sum of its proper divisors (253277376).

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

152960064 is a wasteful number, since it uses less digits than its factorization.

152960064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 152960064 is about 12367.7024543769. The cubic root of 152960064 is about 534.8015847919.

The spelling of 152960064 in words is "one hundred fifty-two million, nine hundred sixty thousand, sixty-four".