133263312 has 80 divisors (see below), whose sum is σ = 423722880. Its totient is φ = 35145216.

The previous prime is 133263269. The next prime is 133263329. The reversal of 133263312 is 213362331.

It is a happy number.

It is a super-2 number, since 2×133263312² = 35518220650418688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 10887 + ... + 19622.

It is an arithmetic number, because the mean of its divisors is an integer number (5296536).

Almost surely, 2^133263312 is an apocalyptic number.

133263312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133263312 is an abundant number, since it is smaller than the sum of its proper divisors (290459568).

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

133263312 is a wasteful number, since it uses less digits than its factorization.

133263312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30540 (or 30534 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 133263312 is about 11543.9729729413. The cubic root of 133263312 is about 510.7835092558.

The spelling of 133263312 in words is "one hundred thirty-three million, two hundred sixty-three thousand, three hundred twelve".