135118401 has 24 divisors (see below), whose sum is σ = 200776800. Its totient is φ = 80752320.

The previous prime is 135118391. The next prime is 135118409. The reversal of 135118401 is 104811531.

It is not a de Polignac number, because 135118401 - 2⁵ = 135118369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135118409) 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, 23950 + ... + 29048.

It is an arithmetic number, because the mean of its divisors is an integer number (8365700).

Almost surely, 2^135118401 is an apocalyptic number.

135118401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135118401 is a deficient number, since it is larger than the sum of its proper divisors (65658399).

135118401 is a wasteful number, since it uses less digits than its factorization.

135118401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 135118401 is about 11624.0440897306. The cubic root of 135118401 is about 513.1427126706.

Adding to 135118401 its reverse (104811531), we get a palindrome (239929932).

It can be divided in two parts, 13511 and 8401, that added together give a palindrome (21912).

The spelling of 135118401 in words is "one hundred thirty-five million, one hundred eighteen thousand, four hundred one".