133036064 has 48 divisors (see below), whose sum is σ = 300500928. Its totient is φ = 56792832.

The previous prime is 133036031. The next prime is 133036069. The reversal of 133036064 is 460630331.

It is a super-2 number, since 2×133036064² = 35397188649224192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133036069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64619 + ... + 66645.

It is an arithmetic number, because the mean of its divisors is an integer number (6260436).

Almost surely, 2^133036064 is an apocalyptic number.

133036064 is a gapful number since it is divisible by the number (14) 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 133036064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150250464).

133036064 is an abundant number, since it is smaller than the sum of its proper divisors (167464864).

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

133036064 is a wasteful number, since it uses less digits than its factorization.

133036064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 133036064 is about 11534.1260613884. The cubic root of 133036064 is about 510.4930052637.

Adding to 133036064 its reverse (460630331), we get a palindrome (593666395).

The spelling of 133036064 in words is "one hundred thirty-three million, thirty-six thousand, sixty-four".