133075180 has 72 divisors (see below), whose sum is σ = 326982096. Its totient is φ = 45360000.

The previous prime is 133075141. The next prime is 133075181. The reversal of 133075180 is 81570331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (133075181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245710 + ... + 246250.

It is an arithmetic number, because the mean of its divisors is an integer number (4541418).

Almost surely, 2^133075180 is an apocalyptic number.

133075180 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 133075180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163491048).

133075180 is an abundant number, since it is smaller than the sum of its proper divisors (193906916).

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

133075180 is a wasteful number, since it uses less digits than its factorization.

133075180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 133075180 is about 11535.8216005623. The cubic root of 133075180 is about 510.5430330207.

The spelling of 133075180 in words is "one hundred thirty-three million, seventy-five thousand, one hundred eighty".