152730308160 has 280 divisors, whose sum is σ = 550173022080. Its totient is φ = 40211997696.

The previous prime is 152730308119. The next prime is 152730308167. The reversal of 152730308160 is 61803037251.

152730308160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (152730308167) 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 39 ways as a sum of consecutive naturals, for example, 2010387 + ... + 2084973.

Almost surely, 2^152730308160 is an apocalyptic number.

152730308160 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 152730308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275086511040).

152730308160 is an abundant number, since it is smaller than the sum of its proper divisors (397442713920).

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

152730308160 is an equidigital number, since it uses as much as digits as its factorization.

152730308160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74695 (or 74676 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 152730308160 in words is "one hundred fifty-two billion, seven hundred thirty million, three hundred eight thousand, one hundred sixty".