133536330 has 64 divisors (see below), whose sum is σ = 365748480. Its totient is φ = 34644672.

The previous prime is 133536317. The next prime is 133536331. The reversal of 133536330 is 33635331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133536294 and 133536303.

It is not an unprimeable number, because it can be changed into a prime (133536331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3307 + ... + 16673.

It is an arithmetic number, because the mean of its divisors is an integer number (5714820).

Almost surely, 2^133536330 is an apocalyptic number.

133536330 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 133536330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182874240).

133536330 is an abundant number, since it is smaller than the sum of its proper divisors (232212150).

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

133536330 is a wasteful number, since it uses less digits than its factorization.

133536330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13420 (or 13414 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 27.

The square root of 133536330 is about 11555.7920542038. The cubic root of 133536330 is about 511.1320872334.

Subtracting from 133536330 its reverse (33635331), we obtain a palindrome (99900999).

It can be divided in two parts, 13353 and 6330, that added together give a 9-th power (19683 = 3⁹).

The spelling of 133536330 in words is "one hundred thirty-three million, five hundred thirty-six thousand, three hundred thirty".