133726096 has 75 divisors (see below), whose sum is σ = 307468571. Its totient is φ = 56339808.

The previous prime is 133726039. The next prime is 133726129. The reversal of 133726096 is 690627331.

The square root of 133726096 is 11564.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 2266515 + ... + 2266573.

Almost surely, 2^133726096 is an apocalyptic number.

133726096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133726096 is the 11564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133726096

133726096 is an abundant number, since it is smaller than the sum of its proper divisors (173742475).

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

133726096 is an frugal number, since it uses more digits than its factorization.

133726096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 37.

The cubic root of 133726096 is about 511.3740927404.

The spelling of 133726096 in words is "one hundred thirty-three million, seven hundred twenty-six thousand, ninety-six".