135180801 has 48 divisors (see below), whose sum is σ = 242544640. Its totient is φ = 70800480.

The previous prime is 135180797. The next prime is 135180811. The reversal of 135180801 is 108081531.

It is not a de Polignac number, because 135180801 - 2² = 135180797 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (135180811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35286 + ... + 38928.

Almost surely, 2^135180801 is an apocalyptic number.

It is an amenable number.

135180801 is a deficient number, since it is larger than the sum of its proper divisors (107363839).

135180801 is a wasteful number, since it uses less digits than its factorization.

135180801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 135180801 is about 11626.7278715897. The cubic root of 135180801 is about 513.2216932219.

It can be divided in two parts, 135180 and 801, that added together give a triangular number (135981 = T₅₂₁).

The spelling of 135180801 in words is "one hundred thirty-five million, one hundred eighty thousand, eight hundred one".