152723128320 has 864 divisors, whose sum is σ = 632062424448. Its totient is φ = 34653339648.

The previous prime is 152723128307. The next prime is 152723128321. The reversal of 152723128320 is 23821327251.

152723128320 is a `hidden beast` number, since 1 + 527 + 2 + 3 + 128 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152723128321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114767292 + ... + 1114767428.

It is an arithmetic number, because the mean of its divisors is an integer number (731553732).

Almost surely, 2^152723128320 is an apocalyptic number.

152723128320 is a gapful number since it is divisible by the number (10) 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 152723128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316031212224).

152723128320 is an abundant number, since it is smaller than the sum of its proper divisors (479339296128).

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

152723128320 is an frugal number, since it uses more digits than its factorization.

152723128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

It can be divided in two parts, 1527231 and 28320, that added together give a palindrome (1555551).

The spelling of 152723128320 in words is "one hundred fifty-two billion, seven hundred twenty-three million, one hundred twenty-eight thousand, three hundred twenty".