133186872 has 96 divisors (see below), whose sum is σ = 412145280. Its totient is φ = 35118720.

The previous prime is 133186871. The next prime is 133186927. The reversal of 133186872 is 278681331.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 133186872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133186871) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26047 + ... + 30737.

It is an arithmetic number, because the mean of its divisors is an integer number (4293180).

Almost surely, 2^133186872 is an apocalyptic number.

133186872 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 133186872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206072640).

133186872 is an abundant number, since it is smaller than the sum of its proper divisors (278958408).

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

133186872 is a wasteful number, since it uses less digits than its factorization.

133186872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733 (or 4716 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 133186872 is about 11540.6616794705. The cubic root of 133186872 is about 510.6858285600.

The spelling of 133186872 in words is "one hundred thirty-three million, one hundred eighty-six thousand, eight hundred seventy-two".