133466745600 has 270 divisors, whose sum is σ = 493489287060. Its totient is φ = 35590993920.

The previous prime is 133466745571. The next prime is 133466745611. The reversal of 133466745600 is 6547664331.

133466745600 is a `hidden beast` number, since 1 + 3 + 34 + 6 + 6 + 7 + 4 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 389671 + ... + 647129.

Almost surely, 2^133466745600 is an apocalyptic number.

133466745600 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 133466745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246744643530).

133466745600 is an abundant number, since it is smaller than the sum of its proper divisors (360022541460).

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

133466745600 is an equidigital number, since it uses as much as digits as its factorization.

133466745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257497 (or 257469 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 133466745600 in words is "one hundred thirty-three billion, four hundred sixty-six million, seven hundred forty-five thousand, six hundred".