152305325200 has 240 divisors, whose sum is σ = 421611765120. Its totient is φ = 51793551360.

The previous prime is 152305325197. The next prime is 152305325213. The reversal of 152305325200 is 2523503251.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 326135367 + ... + 326135833.

It is an arithmetic number, because the mean of its divisors is an integer number (1756715688).

Almost surely, 2^152305325200 is an apocalyptic number.

152305325200 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 152305325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210805882560).

152305325200 is an abundant number, since it is smaller than the sum of its proper divisors (269306439920).

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

152305325200 is a wasteful number, since it uses less digits than its factorization.

152305325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

Adding to 152305325200 its reverse (2523503251), we get a palindrome (154828828451).

The spelling of 152305325200 in words is "one hundred fifty-two billion, three hundred five million, three hundred twenty-five thousand, two hundred".