133611696 has 60 divisors (see below), whose sum is σ = 375234912. Its totient is φ = 44381568.

The previous prime is 133611691. The next prime is 133611697. The reversal of 133611696 is 696116331.

133611696 is a `hidden beast` number, since 1 + 33 + 611 + 6 + 9 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 133611696.

It is not an unprimeable number, because it can be changed into a prime (133611691) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44185 + ... + 47111.

Almost surely, 2^133611696 is an apocalyptic number.

133611696 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 133611696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187617456).

133611696 is an abundant number, since it is smaller than the sum of its proper divisors (241623216).

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

133611696 is a wasteful number, since it uses less digits than its factorization.

133611696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3249 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 133611696 is about 11559.0525563300. The cubic root of 133611696 is about 511.2282277021.

The spelling of 133611696 in words is "one hundred thirty-three million, six hundred eleven thousand, six hundred ninety-six".