133473312 has 192 divisors, whose sum is σ = 460857600. Its totient is φ = 36771840.

The previous prime is 133473299. The next prime is 133473331. The reversal of 133473312 is 213374331.

133473312 is a `hidden beast` number, since 1 + 3 + 347 + 3 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175012 + ... + 175772.

It is an arithmetic number, because the mean of its divisors is an integer number (2400300).

Almost surely, 2^133473312 is an apocalyptic number.

133473312 is a gapful number since it is divisible by the number (12) 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 133473312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230428800).

133473312 is an abundant number, since it is smaller than the sum of its proper divisors (327384288).

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

133473312 is a wasteful number, since it uses less digits than its factorization.

133473312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 802 counting only the distinct ones).

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

The square root of 133473312 is about 11553.0650478563. The cubic root of 133473312 is about 511.0516706903.

The spelling of 133473312 in words is "one hundred thirty-three million, four hundred seventy-three thousand, three hundred twelve".