152789905920 has 320 divisors, whose sum is σ = 496675960704. Its totient is φ = 40062812160.

The previous prime is 152789905913. The next prime is 152789905921. The reversal of 152789905920 is 29509987251.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (152789905921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179120214 + ... + 179121066.

Almost surely, 2^152789905920 is an apocalyptic number.

152789905920 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 152789905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248337980352).

152789905920 is an abundant number, since it is smaller than the sum of its proper divisors (343886054784).

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

152789905920 is an equidigital number, since it uses as much as digits as its factorization.

152789905920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 57.

The spelling of 152789905920 in words is "one hundred fifty-two billion, seven hundred eighty-nine million, nine hundred five thousand, nine hundred twenty".