133831296 has 96 divisors (see below), whose sum is σ = 401937120. Its totient is φ = 42662400.

The previous prime is 133831289. The next prime is 133831297. The reversal of 133831296 is 692138331.

133831296 is a `hidden beast` number, since 1 + 338 + 31 + 296 = 666.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 self number, because there is not a number n which added to its sum of digits gives 133831296.

It is not an unprimeable number, because it can be changed into a prime (133831297) 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 11 ways as a sum of consecutive naturals, for example, 23971 + ... + 29021.

It is an arithmetic number, because the mean of its divisors is an integer number (4186845).

Almost surely, 2^133831296 is an apocalyptic number.

133831296 is a gapful number since it is divisible by the number (16) 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 133831296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200968560).

133831296 is an abundant number, since it is smaller than the sum of its proper divisors (268105824).

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

133831296 is a wasteful number, since it uses less digits than its factorization.

133831296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 5079 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 133831296 is about 11568.5477048764. The cubic root of 133831296 is about 511.5081539680.

The spelling of 133831296 in words is "one hundred thirty-three million, eight hundred thirty-one thousand, two hundred ninety-six".