152430352032 has 192 divisors, whose sum is σ = 484930333440. Its totient is φ = 40927051776.

The previous prime is 152430351979. The next prime is 152430352037. The reversal of 152430352032 is 230253034251.

152430352032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (152430352037) 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, 7724194 + ... + 7743902.

It is an arithmetic number, because the mean of its divisors is an integer number (2525678820).

Almost surely, 2^152430352032 is an apocalyptic number.

152430352032 is a gapful number since it is divisible by the number (12) 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 152430352032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242465166720).

152430352032 is an abundant number, since it is smaller than the sum of its proper divisors (332499981408).

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

152430352032 is a wasteful number, since it uses less digits than its factorization.

152430352032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20423 (or 20415 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 152430352032 its reverse (230253034251), we get a palindrome (382683386283).

The spelling of 152430352032 in words is "one hundred fifty-two billion, four hundred thirty million, three hundred fifty-two thousand, thirty-two".