133025346166336 has 112 divisors (see below), whose sum is σ = 289345620677680. Its totient is φ = 60304624312320.

The previous prime is 133025346166243. The next prime is 133025346166351. The reversal of 133025346166336 is 633661643520331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 93429236174400 + 39596109991936 = 9665880^2 + 6292544^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34134730 + ... + 37831606.

It is an arithmetic number, because the mean of its divisors is an integer number (2583443041765).

Almost surely, 2^{133025346166336} is an apocalyptic number.

133025346166336 is a gapful number since it is divisible by the number (16) 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 133025346166336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144672810338840).

133025346166336 is an abundant number, since it is smaller than the sum of its proper divisors (156320274511344).

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

133025346166336 is a wasteful number, since it uses less digits than its factorization.

133025346166336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697672 (or 3697662 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 52.

Adding to 133025346166336 its reverse (633661643520331), we get a palindrome (766686989686667).

The spelling of 133025346166336 in words is "one hundred thirty-three trillion, twenty-five billion, three hundred forty-six million, one hundred sixty-six thousand, three hundred thirty-six".