152978728864 has 96 divisors (see below), whose sum is σ = 329341904640. Its totient is φ = 69520281600.

The previous prime is 152978728829. The next prime is 152978728873. The reversal of 152978728864 is 468827879251.

152978728864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 152978728864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26018277 + ... + 26024155.

It is an arithmetic number, because the mean of its divisors is an integer number (3430644840).

Almost surely, 2^152978728864 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 152978728864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164670952320).

152978728864 is an abundant number, since it is smaller than the sum of its proper divisors (176363175776).

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

152978728864 is a wasteful number, since it uses less digits than its factorization.

152978728864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6854 (or 6846 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 67.

The spelling of 152978728864 in words is "one hundred fifty-two billion, nine hundred seventy-eight million, seven hundred twenty-eight thousand, eight hundred sixty-four".