133358720 has 128 divisors (see below), whose sum is σ = 366465600. Its totient is φ = 45895680.

The previous prime is 133358717. The next prime is 133358723. The reversal of 133358720 is 27853331.

It is an interprime number because it is at equal distance from previous prime (133358717) and next prime (133358723).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (133358723) 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 15 ways as a sum of consecutive naturals, for example, 133262 + ... + 134258.

Almost surely, 2^133358720 is an apocalyptic number.

133358720 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 133358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183232800).

133358720 is an abundant number, since it is smaller than the sum of its proper divisors (233106880).

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

133358720 is a wasteful number, since it uses less digits than its factorization.

133358720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 133358720 is about 11548.1046063845. The cubic root of 133358720 is about 510.9053762750.

It can be divided in two parts, 133 and 358720, that added together give a palindrome (358853).

The spelling of 133358720 in words is "one hundred thirty-three million, three hundred fifty-eight thousand, seven hundred twenty".