133105152500 has 60 divisors (see below), whose sum is σ = 291168724308. Its totient is φ = 53224800000.

The previous prime is 133105152491. The next prime is 133105152511. The reversal of 133105152500 is 5251501331.

It is a happy number.

133105152500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 91927814416 + 41177338084 = 303196^2 + 202922^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133105152500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10045880 + ... + 10059120.

Almost surely, 2^133105152500 is an apocalyptic number.

133105152500 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 133105152500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145584362154).

133105152500 is an abundant number, since it is smaller than the sum of its proper divisors (158063571808).

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

133105152500 is a wasteful number, since it uses less digits than its factorization.

133105152500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17286 (or 17269 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 26.

Adding to 133105152500 its reverse (5251501331), we get a palindrome (138356653831).

The spelling of 133105152500 in words is "one hundred thirty-three billion, one hundred five million, one hundred fifty-two thousand, five hundred".