133007418 has 24 divisors (see below), whose sum is σ = 289387956. Its totient is φ = 44150400.

The previous prime is 133007411. The next prime is 133007419. The reversal of 133007418 is 814700331.

It can be written as a sum of positive squares in 2 ways, for example, as 103489929 + 29517489 = 10173^2 + 5433^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133007391 and 133007400.

It is not an unprimeable number, because it can be changed into a prime (133007411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10993 + ... + 19668.

Almost surely, 2^133007418 is an apocalyptic number.

133007418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

133007418 is an abundant number, since it is smaller than the sum of its proper divisors (156380538).

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

133007418 is a wasteful number, since it uses less digits than its factorization.

133007418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30910 (or 30907 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 133007418 is about 11532.8842012742. The cubic root of 133007418 is about 510.4563619859.

Adding to 133007418 its reverse (814700331), we get a palindrome (947707749).

The spelling of 133007418 in words is "one hundred thirty-three million, seven thousand, four hundred eighteen".