133430169600 has 1872 divisors, whose sum is σ = 618153407872. Its totient is φ = 26754416640.

The previous prime is 133430169581. The next prime is 133430169611. The reversal of 133430169600 is 6961034331.

133430169600 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 30 + 16 + 9 + 600 = 666.

133430169600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a super-2 number, since 2×133430169600² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3103027179 + ... + 3103027221.

Almost surely, 2^133430169600 is an apocalyptic number.

133430169600 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 133430169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309076703936).

133430169600 is an abundant number, since it is smaller than the sum of its proper divisors (484723238272).

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

133430169600 is a wasteful number, since it uses less digits than its factorization.

133430169600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 133430169600 in words is "one hundred thirty-three billion, four hundred thirty million, one hundred sixty-nine thousand, six hundred".