133316064 has 288 divisors, whose sum is σ = 468840960. Its totient is φ = 36723456.

The previous prime is 133316033. The next prime is 133316077. The reversal of 133316064 is 460613331.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1989759 + ... + 1989825.

It is an arithmetic number, because the mean of its divisors is an integer number (1627920).

Almost surely, 2^133316064 is an apocalyptic number.

133316064 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 133316064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

133316064 is an abundant number, since it is smaller than the sum of its proper divisors (335524896).

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

133316064 is a wasteful number, since it uses less digits than its factorization.

133316064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 133316064 is about 11546.2575755090. The cubic root of 133316064 is about 510.8508978884.

Adding to 133316064 its reverse (460613331), we get a palindrome (593929395).

The spelling of 133316064 in words is "one hundred thirty-three million, three hundred sixteen thousand, sixty-four".