133291872 has 96 divisors (see below), whose sum is σ = 444326400. Its totient is φ = 38081664.

The previous prime is 133291867. The next prime is 133291913. The reversal of 133291872 is 278192331.

It is a tau number, because it is divible by the number of its divisors (96).

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4972 + ... + 17067.

It is an arithmetic number, because the mean of its divisors is an integer number (4628400).

Almost surely, 2^133291872 is an apocalyptic number.

133291872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133291872 is an abundant number, since it is smaller than the sum of its proper divisors (311034528).

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

133291872 is a wasteful number, since it uses less digits than its factorization.

133291872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22065 (or 22051 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 133291872 is about 11545.2099158049. The cubic root of 133291872 is about 510.8199957546.

The spelling of 133291872 in words is "one hundred thirty-three million, two hundred ninety-one thousand, eight hundred seventy-two".