152882380800 has 504 divisors, whose sum is σ = 568462375845. Its totient is φ = 40768634880.

The previous prime is 152882380771. The next prime is 152882380813. The reversal of 152882380800 is 8083288251.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ (4!)² ⋅ (2!)⁹.

It can be written as a sum of positive squares in 2 ways, for example, as 149824733184 + 3057647616 = 387072^2 + 55296^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=276480.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 30576476158 + ... + 30576476162.

Almost surely, 2^152882380800 is an apocalyptic number.

152882380800 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 152882380800

152882380800 is an abundant number, since it is smaller than the sum of its proper divisors (415579995045).

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

152882380800 is an frugal number, since it uses more digits than its factorization.

152882380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 152882380800 in words is "one hundred fifty-two billion, eight hundred eighty-two million, three hundred eighty thousand, eight hundred".