133191468 has 72 divisors (see below), whose sum is σ = 347547200. Its totient is φ = 42983136.

The previous prime is 133191451. The next prime is 133191473. The reversal of 133191468 is 864191331.

133191468 is a `hidden beast` number, since 1 + 3 + 3 + 191 + 468 = 666.

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 23 ways as a sum of consecutive naturals, for example, 214863 + ... + 215481.

Almost surely, 2^133191468 is an apocalyptic number.

133191468 is a gapful number since it is divisible by the number (18) 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 133191468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173773600).

133191468 is an abundant number, since it is smaller than the sum of its proper divisors (214355732).

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

133191468 is a wasteful number, since it uses less digits than its factorization.

133191468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 806 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 133191468 is about 11540.8607997844. The cubic root of 133191468 is about 510.6917027252.

The spelling of 133191468 in words is "one hundred thirty-three million, one hundred ninety-one thousand, four hundred sixty-eight".