152793224160 has 192 divisors, whose sum is σ = 506973841920. Its totient is φ = 38574213120.

The previous prime is 152793224153. The next prime is 152793224167. The reversal of 152793224160 is 61422397251.

It is a happy number.

152793224160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152793224153) and next prime (152793224167).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152793224167) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15873109 + ... + 15882731.

It is an arithmetic number, because the mean of its divisors is an integer number (2640488760).

Almost surely, 2^152793224160 is an apocalyptic number.

152793224160 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 152793224160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253486920960).

152793224160 is an abundant number, since it is smaller than the sum of its proper divisors (354180617760).

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

152793224160 is a wasteful number, since it uses less digits than its factorization.

152793224160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11401 (or 11393 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 152793224160 in words is "one hundred fifty-two billion, seven hundred ninety-three million, two hundred twenty-four thousand, one hundred sixty".