133766336 has 56 divisors (see below), whose sum is σ = 306634896. Its totient is φ = 57221120.

The previous prime is 133766323. The next prime is 133766341. The reversal of 133766336 is 633667331.

It is a self number, because there is not a number n which added to its sum of digits gives 133766336.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6380 + ... + 17556.

Almost surely, 2^133766336 is an apocalyptic number.

133766336 is a gapful number since it is divisible by the number (16) 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 133766336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153317448).

133766336 is an abundant number, since it is smaller than the sum of its proper divisors (172868560).

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

133766336 is a wasteful number, since it uses less digits than its factorization.

133766336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11217 (or 11207 counting only the distinct ones).

The product of its digits is 122472, while the sum is 38.

The square root of 133766336 is about 11565.7397515248. The cubic root of 133766336 is about 511.4253807348.

The spelling of 133766336 in words is "one hundred thirty-three million, seven hundred sixty-six thousand, three hundred thirty-six".