133123005 has 24 divisors (see below), whose sum is σ = 244321272. Its totient is φ = 66822144.

The previous prime is 133122961. The next prime is 133123009. The reversal of 133123005 is 500321331.

It can be written as a sum of positive squares in 4 ways, for example, as 66879684 + 66243321 = 8178^2 + 8139^2 .

It is not a de Polignac number, because 133123005 - 2⁷ = 133122877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133123009) 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, 86244 + ... + 87773.

It is an arithmetic number, because the mean of its divisors is an integer number (10180053).

Almost surely, 2^133123005 is an apocalyptic number.

133123005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133123005 is a deficient number, since it is larger than the sum of its proper divisors (111198267).

133123005 is a wasteful number, since it uses less digits than its factorization.

133123005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174045 (or 174042 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 133123005 is about 11537.8943052881. The cubic root of 133123005 is about 510.6041859122.

Adding to 133123005 its reverse (500321331), we get a palindrome (633444336).

It can be divided in two parts, 1331 and 23005, that added together give a square (24336 = 156²).

The spelling of 133123005 in words is "one hundred thirty-three million, one hundred twenty-three thousand, five".