133307181 has 64 divisors (see below), whose sum is σ = 236544000. Its totient is φ = 72612288.

The previous prime is 133307177. The next prime is 133307191. The reversal of 133307181 is 181703331.

It is not a de Polignac number, because 133307181 - 2² = 133307177 is a prime.

It is a super-2 number, since 2×133307181² = 35541609012333522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133307101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 381795 + ... + 382143.

It is an arithmetic number, because the mean of its divisors is an integer number (3696000).

Almost surely, 2^133307181 is an apocalyptic number.

It is an amenable number.

133307181 is a deficient number, since it is larger than the sum of its proper divisors (103236819).

133307181 is a wasteful number, since it uses less digits than its factorization.

133307181 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 133307181 is about 11545.8728990059. The cubic root of 133307181 is about 510.8395514455.

The spelling of 133307181 in words is "one hundred thirty-three million, three hundred seven thousand, one hundred eighty-one".