15152345133200 has 240 divisors, whose sum is σ = 42842361234816. Its totient is φ = 5087982182400.

The previous prime is 15152345133173. The next prime is 15152345133209. The reversal of 15152345133200 is 233154325151.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (15152345133209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2053349 + ... + 5875451.

Almost surely, 2^{15152345133200} is an apocalyptic number.

15152345133200 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 15152345133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21421180617408).

15152345133200 is an abundant number, since it is smaller than the sum of its proper divisors (27690016101616).

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

15152345133200 is a wasteful number, since it uses less digits than its factorization.

15152345133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822202 (or 3822191 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

Adding to 15152345133200 its reverse (233154325151), we get a palindrome (15385499458351).

The spelling of 15152345133200 in words is "fifteen trillion, one hundred fifty-two billion, three hundred forty-five million, one hundred thirty-three thousand, two hundred".