133650 has 72 divisors (see below), whose sum is σ = 406224. Its totient is φ = 32400.

The previous prime is 133649. The next prime is 133657. The reversal of 133650 is 56331.

133650 is a `hidden beast` number, since 13 + 3 + 650 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a plaindrome in base 13.

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (133657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12145 + ... + 12155.

It is an arithmetic number, because the mean of its divisors is an integer number (5642).

2¹³³⁶⁵⁰ is an apocalyptic number.

133650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112).

133650 is an abundant number, since it is smaller than the sum of its proper divisors (272574).

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

133650 is a wasteful number, since it uses less digits than its factorization.

133650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 133650 is about 365.5817282086. The cubic root of 133650 is about 51.1277076258.

Adding to 133650 its reverse (56331), we get a palindrome (189981).

It can be divided in two parts, 13 and 3650, that added together give a palindrome (3663).

The spelling of 133650 in words is "one hundred thirty-three thousand, six hundred fifty".