133038720 has 128 divisors (see below), whose sum is σ = 471240000. Its totient is φ = 35472384.

The previous prime is 133038691. The next prime is 133038721. The reversal of 133038720 is 27830331.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (133038721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13431 + ... + 21129.

Almost surely, 2^133038720 is an apocalyptic number.

133038720 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 133038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235620000).

133038720 is an abundant number, since it is smaller than the sum of its proper divisors (338201280).

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

133038720 is an equidigital number, since it uses as much as digits as its factorization.

133038720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7727 (or 7709 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 133038720 is about 11534.2411974087. The cubic root of 133038720 is about 510.4964024889.

The spelling of 133038720 in words is "one hundred thirty-three million, thirty-eight thousand, seven hundred twenty".