133311360 has 384 divisors, whose sum is σ = 537213600. Its totient is φ = 27869184.

The previous prime is 133311349. The next prime is 133311361. The reversal of 133311360 is 63113331.

133311360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133311361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1222986 + ... + 1223094.

Almost surely, 2^133311360 is an apocalyptic number.

133311360 is a gapful number since it is divisible by the number (10) 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 133311360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268606800).

133311360 is an abundant number, since it is smaller than the sum of its proper divisors (403902240).

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

133311360 is a wasteful number, since it uses less digits than its factorization.

133311360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 133311360 is about 11546.0538713450. The cubic root of 133311360 is about 510.8448894329.

Adding to 133311360 its reverse (63113331), we get a palindrome (196424691).

The spelling of 133311360 in words is "one hundred thirty-three million, three hundred eleven thousand, three hundred sixty".