133185536 has 60 divisors (see below), whose sum is σ = 290970960. Its totient is φ = 60456960.

The previous prime is 133185469. The next prime is 133185601. The reversal of 133185536 is 635581331.

133185536 is nontrivially palindromic in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 133185496 and 133185505.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 179855 + ... + 180593.

It is an arithmetic number, because the mean of its divisors is an integer number (4849516).

Almost surely, 2^133185536 is an apocalyptic number.

133185536 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 133185536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145485480).

133185536 is an abundant number, since it is smaller than the sum of its proper divisors (157785424).

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

133185536 is an frugal number, since it uses more digits than its factorization.

133185536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 752 counting only the distinct ones).

The product of its digits is 32400, while the sum is 35.

The square root of 133185536 is about 11540.6037970290. The cubic root of 133185536 is about 510.6841209879.

The spelling of 133185536 in words is "one hundred thirty-three million, one hundred eighty-five thousand, five hundred thirty-six".