133760 has 64 divisors (see below), whose sum is σ = 367200. Its totient is φ = 46080.

The previous prime is 133733. The next prime is 133769. The reversal of 133760 is 67331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 133760.

It is not an unprimeable number, because it can be changed into a prime (133769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7031 + ... + 7049.

2¹³³⁷⁶⁰ is an apocalyptic number.

133760 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 133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183600).

133760 is an abundant number, since it is smaller than the sum of its proper divisors (233440).

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

133760 is a wasteful number, since it uses less digits than its factorization.

133760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 133760 is about 365.7321424212. The cubic root of 133760 is about 51.1417305852.

It can be divided in two parts, 13 and 3760, that added together give a palindrome (3773).

The spelling of 133760 in words is "one hundred thirty-three thousand, seven hundred sixty".