133241760 has 288 divisors, whose sum is σ = 495331200. Its totient is φ = 33758208.

The previous prime is 133241729. The next prime is 133241827. The reversal of 133241760 is 67142331.

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, 894166 + ... + 894314.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^133241760 is an apocalyptic number.

133241760 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 133241760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

133241760 is an abundant number, since it is smaller than the sum of its proper divisors (362089440).

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

133241760 is a wasteful number, since it uses less digits than its factorization.

133241760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 182 counting only the distinct ones).

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

The square root of 133241760 is about 11543.0394610778. The cubic root of 133241760 is about 510.7559722952.

The spelling of 133241760 in words is "one hundred thirty-three million, two hundred forty-one thousand, seven hundred sixty".