133726320 has 360 divisors, whose sum is σ = 559312416. Its totient is φ = 28035072.

The previous prime is 133726319. The next prime is 133726331. The reversal of 133726320 is 23627331.

133726320 is a `hidden beast` number, since 1 + 337 + 2 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 851682 + ... + 851838.

Almost surely, 2^133726320 is an apocalyptic number.

133726320 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 133726320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279656208).

133726320 is an abundant number, since it is smaller than the sum of its proper divisors (425586096).

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

133726320 is a wasteful number, since it uses less digits than its factorization.

133726320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 133726320 is about 11564.0096852260. The cubic root of 133726320 is about 511.3743782686.

The spelling of 133726320 in words is "one hundred thirty-three million, seven hundred twenty-six thousand, three hundred twenty".