133557312 has 112 divisors (see below), whose sum is σ = 413422592. Its totient is φ = 37255680.

The previous prime is 133557301. The next prime is 133557329. The reversal of 133557312 is 213755331.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 133557312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56637 + ... + 58947.

Almost surely, 2^133557312 is an apocalyptic number.

133557312 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 133557312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206711296).

133557312 is an abundant number, since it is smaller than the sum of its proper divisors (279865280).

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

133557312 is a wasteful number, since it uses less digits than its factorization.

133557312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2366 counting only the distinct ones).

The product of its digits is 9450, while the sum is 30.

The square root of 133557312 is about 11556.6998749643. The cubic root of 133557312 is about 511.1588565073.

The spelling of 133557312 in words is "one hundred thirty-three million, five hundred fifty-seven thousand, three hundred twelve".