133561736 has 96 divisors (see below), whose sum is σ = 328648320. Its totient is φ = 49716480.

The previous prime is 133561699. The next prime is 133561763. The reversal of 133561736 is 637165331.

It is a junction number, because it is equal to n+sod(n) for n = 133561696 and 133561705.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155420 + ... + 156276.

It is an arithmetic number, because the mean of its divisors is an integer number (3423420).

Almost surely, 2^133561736 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 133561736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164324160).

133561736 is an abundant number, since it is smaller than the sum of its proper divisors (195086584).

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

133561736 is a wasteful number, since it uses less digits than its factorization.

133561736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 900 counting only the distinct ones).

The product of its digits is 34020, while the sum is 35.

The square root of 133561736 is about 11556.8912775019. The cubic root of 133561736 is about 511.1645003810.

The spelling of 133561736 in words is "one hundred thirty-three million, five hundred sixty-one thousand, seven hundred thirty-six".