133385760 has 144 divisors (see below), whose sum is σ = 458377920. Its totient is φ = 35320320.

The previous prime is 133385753. The next prime is 133385773. The reversal of 133385760 is 67583331.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303621 + ... + 304059.

It is an arithmetic number, because the mean of its divisors is an integer number (3183180).

Almost surely, 2^133385760 is an apocalyptic number.

133385760 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 133385760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229188960).

133385760 is an abundant number, since it is smaller than the sum of its proper divisors (324992160).

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

133385760 is a wasteful number, since it uses less digits than its factorization.

133385760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 133385760 is about 11549.2753019399. The cubic root of 133385760 is about 510.9399045702.

The spelling of 133385760 in words is "one hundred thirty-three million, three hundred eighty-five thousand, seven hundred sixty".