133105536 has 96 divisors (see below), whose sum is σ = 385468200. Its totient is φ = 44086272.

The previous prime is 133105493. The next prime is 133105543. The reversal of 133105536 is 635501331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261250 + ... + 261758.

Almost surely, 2^133105536 is an apocalyptic number.

133105536 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 133105536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192734100).

133105536 is an abundant number, since it is smaller than the sum of its proper divisors (252362664).

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

133105536 is a wasteful number, since it uses less digits than its factorization.

133105536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 133105536 is about 11537.1372532357. The cubic root of 133105536 is about 510.5818503419.

Adding to 133105536 its reverse (635501331), we get a palindrome (768606867).

The spelling of 133105536 in words is "one hundred thirty-three million, one hundred five thousand, five hundred thirty-six".