133217403552 has 288 divisors, whose sum is σ = 424832833152. Its totient is φ = 39377682432.

The previous prime is 133217403503. The next prime is 133217403587. The reversal of 133217403552 is 255304712331.

133217403552 is a `hidden beast` number, since 1 + 3 + 32 + 1 + 74 + 0 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7535908 + ... + 7553564.

It is an arithmetic number, because the mean of its divisors is an integer number (1475114004).

Almost surely, 2^133217403552 is an apocalyptic number.

133217403552 is a gapful number since it is divisible by the number (12) 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 133217403552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212416416576).

133217403552 is an abundant number, since it is smaller than the sum of its proper divisors (291615429600).

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

133217403552 is a wasteful number, since it uses less digits than its factorization.

133217403552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17780 (or 17769 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 133217403552 in words is "one hundred thirty-three billion, two hundred seventeen million, four hundred three thousand, five hundred fifty-two".