133145505 has 64 divisors (see below), whose sum is σ = 249592320. Its totient is φ = 67212288.

The previous prime is 133145473. The next prime is 133145539. The reversal of 133145505 is 505541331.

133145505 is a `hidden beast` number, since 13 + 3 + 145 + 505 = 666.

It is not a de Polignac number, because 133145505 - 2⁵ = 133145473 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 425229 + ... + 425541.

It is an arithmetic number, because the mean of its divisors is an integer number (3899880).

Almost surely, 2^133145505 is an apocalyptic number.

133145505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133145505 is a deficient number, since it is larger than the sum of its proper divisors (116446815).

133145505 is a wasteful number, since it uses less digits than its factorization.

133145505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 133145505 is about 11538.8693120253. The cubic root of 133145505 is about 510.6329511558.

Adding to 133145505 its reverse (505541331), we get a palindrome (638686836).

The spelling of 133145505 in words is "one hundred thirty-three million, one hundred forty-five thousand, five hundred five".