152001445200 has 240 divisors, whose sum is σ = 535059521856. Its totient is φ = 36579430400.

The previous prime is 152001445199. The next prime is 152001445289. The reversal of 152001445200 is 2544100251.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1766374 + ... + 1850426.

Almost surely, 2^152001445200 is an apocalyptic number.

152001445200 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 152001445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267529760928).

152001445200 is an abundant number, since it is smaller than the sum of its proper divisors (383058076656).

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

152001445200 is a wasteful number, since it uses less digits than its factorization.

152001445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84222 (or 84211 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 152001445200 its reverse (2544100251), we get a palindrome (154545545451).

The spelling of 152001445200 in words is "one hundred fifty-two billion, one million, four hundred forty-five thousand, two hundred".