133766136 has 96 divisors (see below), whose sum is σ = 422922240. Its totient is φ = 37399104.

The previous prime is 133766131. The next prime is 133766159. The reversal of 133766136 is 631667331.

133766136 is a `hidden beast` number, since 1 + 3 + 37 + 6 + 613 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 133766136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133766131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20865 + ... + 26511.

It is an arithmetic number, because the mean of its divisors is an integer number (4405440).

Almost surely, 2^133766136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133766136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211461120).

133766136 is an abundant number, since it is smaller than the sum of its proper divisors (289156104).

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

133766136 is a wasteful number, since it uses less digits than its factorization.

133766136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5713 (or 5706 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 133766136 is about 11565.7311052955. The cubic root of 133766136 is about 511.4251258497.

The spelling of 133766136 in words is "one hundred thirty-three million, seven hundred sixty-six thousand, one hundred thirty-six".