133257316147200 has 840 divisors, whose sum is σ = 564168601172352. Its totient is φ = 30458788577280.

The previous prime is 133257316147169. The next prime is 133257316147211. The reversal of 133257316147200 is 2741613752331.

133257316147200 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 5 + 7 + 3 + 1 + 614 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 115547817 + ... + 116695383.

Almost surely, 2^{133257316147200} is an apocalyptic number.

133257316147200 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 133257316147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282084300586176).

133257316147200 is an abundant number, since it is smaller than the sum of its proper divisors (430911285025152).

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

133257316147200 is an equidigital number, since it uses as much as digits as its factorization.

133257316147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147622 (or 1147584 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

Adding to 133257316147200 its reverse (2741613752331), we get a palindrome (135998929899531).

The spelling of 133257316147200 in words is "one hundred thirty-three trillion, two hundred fifty-seven billion, three hundred sixteen million, one hundred forty-seven thousand, two hundred".