152240768 has 64 divisors (see below), whose sum is σ = 324972000. Its totient is φ = 70824960.

The previous prime is 152240743. The next prime is 152240773. The reversal of 152240768 is 867042251.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142958 + ... + 144018.

Almost surely, 2^152240768 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 152240768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162486000).

152240768 is an abundant number, since it is smaller than the sum of its proper divisors (172731232).

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

152240768 is a wasteful number, since it uses less digits than its factorization.

152240768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 152240768 is about 12338.5885740631. The cubic root of 152240768 is about 533.9619643077.

The spelling of 152240768 in words is "one hundred fifty-two million, two hundred forty thousand, seven hundred sixty-eight".