152368021728 has 336 divisors, whose sum is σ = 485753420880. Its totient is φ = 46747072512.

The previous prime is 152368021723. The next prime is 152368021747. The reversal of 152368021728 is 827120863251.

152368021728 is a `hidden beast` number, since 1 + 52 + 368 + 0 + 217 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152368021723) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 172556775 + ... + 172557657.

It is an arithmetic number, because the mean of its divisors is an integer number (1445694705).

Almost surely, 2^152368021728 is an apocalyptic number.

152368021728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152368021728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242876710440).

152368021728 is an abundant number, since it is smaller than the sum of its proper divisors (333385399152).

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

152368021728 is an equidigital number, since it uses as much as digits as its factorization.

152368021728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

Adding to 152368021728 its reverse (827120863251), we get a palindrome (979488884979).

The spelling of 152368021728 in words is "one hundred fifty-two billion, three hundred sixty-eight million, twenty-one thousand, seven hundred twenty-eight".