135815805 has 128 divisors (see below), whose sum is σ = 278691840. Its totient is φ = 62346240.

The previous prime is 135815777. The next prime is 135815807. The reversal of 135815805 is 508518531.

It is not a de Polignac number, because 135815805 - 2⁷ = 135815677 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 135815805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135815807) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1636294 + ... + 1636376.

It is an arithmetic number, because the mean of its divisors is an integer number (2177280).

Almost surely, 2^135815805 is an apocalyptic number.

135815805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135815805 is an abundant number, since it is smaller than the sum of its proper divisors (142876035).

135815805 is a wasteful number, since it uses less digits than its factorization.

135815805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The square root of 135815805 is about 11654.0038184308. The cubic root of 135815805 is about 514.0240479395.

The spelling of 135815805 in words is "one hundred thirty-five million, eight hundred fifteen thousand, eight hundred five".