133831264 has 48 divisors (see below), whose sum is σ = 302551200. Its totient is φ = 57083904.

The previous prime is 133831253. The next prime is 133831267. The reversal of 133831264 is 462138331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133831267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49992 + ... + 52600.

It is an arithmetic number, because the mean of its divisors is an integer number (6303150).

Almost surely, 2^133831264 is an apocalyptic number.

133831264 is a gapful number since it is divisible by the number (14) 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 133831264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151275600).

133831264 is an abundant number, since it is smaller than the sum of its proper divisors (168719936).

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

133831264 is a wasteful number, since it uses less digits than its factorization.

133831264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2847 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 133831264 is about 11568.5463218159. The cubic root of 133831264 is about 511.5081131996.

Adding to 133831264 its reverse (462138331), we get a palindrome (595969595).

The spelling of 133831264 in words is "one hundred thirty-three million, eight hundred thirty-one thousand, two hundred sixty-four".