133320264 has 128 divisors (see below), whose sum is σ = 437529600. Its totient is φ = 32797440.

The previous prime is 133320251. The next prime is 133320269. The reversal of 133320264 is 462023331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (133320269) 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, 33214 + ... + 37010.

It is an arithmetic number, because the mean of its divisors is an integer number (3418200).

Almost surely, 2^133320264 is an apocalyptic number.

133320264 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 133320264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218764800).

133320264 is an abundant number, since it is smaller than the sum of its proper divisors (304209336).

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

133320264 is a wasteful number, since it uses less digits than its factorization.

133320264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3843 (or 3839 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 133320264 is about 11546.4394511901. The cubic root of 133320264 is about 510.8562624613.

Adding to 133320264 its reverse (462023331), we get a palindrome (595343595).

The spelling of 133320264 in words is "one hundred thirty-three million, three hundred twenty thousand, two hundred sixty-four".