133627407 has 16 divisors (see below), whose sum is σ = 179815680. Its totient is φ = 88266752.

The previous prime is 133627381. The next prime is 133627423. The reversal of 133627407 is 704726331.

It is a cyclic number.

It is not a de Polignac number, because 133627407 - 2²² = 129433103 is a prime.

It is a super-3 number, since 3×133627407³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133627457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202444 + ... + 203102.

It is an arithmetic number, because the mean of its divisors is an integer number (11238480).

Almost surely, 2^133627407 is an apocalyptic number.

133627407 is a deficient number, since it is larger than the sum of its proper divisors (46188273).

133627407 is a wasteful number, since it uses less digits than its factorization.

133627407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182.

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 133627407 is about 11559.7321335747. The cubic root of 133627407 is about 511.2482648499.

The spelling of 133627407 in words is "one hundred thirty-three million, six hundred twenty-seven thousand, four hundred seven".