133826760 has 96 divisors (see below), whose sum is σ = 437149440. Its totient is φ = 35505792.

The previous prime is 133826731. The next prime is 133826773. The reversal of 133826760 is 67628331.

It is a happy number.

133826760 is a `hidden beast` number, since 1 + 338 + 267 + 60 = 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 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, 79447 + ... + 81113.

It is an arithmetic number, because the mean of its divisors is an integer number (4553640).

Almost surely, 2^133826760 is an apocalyptic number.

133826760 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 133826760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218574720).

133826760 is an abundant number, since it is smaller than the sum of its proper divisors (303322680).

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

133826760 is a wasteful number, since it uses less digits than its factorization.

133826760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 133826760 is about 11568.3516544061. The cubic root of 133826760 is about 511.5023749829.

The spelling of 133826760 in words is "one hundred thirty-three million, eight hundred twenty-six thousand, seven hundred sixty".