133560756 has 72 divisors (see below), whose sum is σ = 386917440. Its totient is φ = 38054016.

The previous prime is 133560751. The next prime is 133560767. The reversal of 133560756 is 657065331.

It is a happy number.

133560756 is a `hidden beast` number, since 13 + 35 + 607 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 133560756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133560751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155055 + ... + 155913.

Almost surely, 2^133560756 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 133560756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193458720).

133560756 is an abundant number, since it is smaller than the sum of its proper divisors (253356684).

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

133560756 is a wasteful number, since it uses less digits than its factorization.

133560756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 133560756 is about 11556.8488784789. The cubic root of 133560756 is about 511.1632501666.

It can be divided in two parts, 13 and 3560756, that added together give a square (3560769 = 1887²).

The spelling of 133560756 in words is "one hundred thirty-three million, five hundred sixty thousand, seven hundred fifty-six".