133800135 has 24 divisors (see below), whose sum is σ = 249033456. Its totient is φ = 61165440.

The previous prime is 133800101. The next prime is 133800137. The reversal of 133800135 is 531008331.

It is not a de Polignac number, because 133800135 - 2⁸ = 133799879 is a prime.

It is a super-2 number, since 2×133800135² = 35804952252036450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133800137) 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, 90286 + ... + 91755.

It is an arithmetic number, because the mean of its divisors is an integer number (10376394).

Almost surely, 2^133800135 is an apocalyptic number.

133800135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133800135 is a deficient number, since it is larger than the sum of its proper divisors (115233321).

133800135 is a wasteful number, since it uses less digits than its factorization.

133800135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182063 (or 182056 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 133800135 is about 11567.2008282039. The cubic root of 133800135 is about 511.4684513890.

Adding to 133800135 its reverse (531008331), we get a palindrome (664808466).

The spelling of 133800135 in words is "one hundred thirty-three million, eight hundred thousand, one hundred thirty-five".