133905312 has 120 divisors (see below), whose sum is σ = 414691200. Its totient is φ = 42270336.

The previous prime is 133905263. The next prime is 133905313. The reversal of 133905312 is 213509331.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (133905313) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 47889 + ... + 50607.

It is an arithmetic number, because the mean of its divisors is an integer number (3455760).

Almost surely, 2^133905312 is an apocalyptic number.

133905312 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 133905312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207345600).

133905312 is an abundant number, since it is smaller than the sum of its proper divisors (280785888).

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

133905312 is a wasteful number, since it uses less digits than its factorization.

133905312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 133905312 is about 11571.7462813527. The cubic root of 133905312 is about 511.6024338843.

The spelling of 133905312 in words is "one hundred thirty-three million, nine hundred five thousand, three hundred twelve".