135270135 has 216 divisors, whose sum is σ = 332957520. Its totient is φ = 51891840.

The previous prime is 135270133. The next prime is 135270137. The reversal of 135270135 is 531072531.

135270135 is a `hidden beast` number, since 1 + 3 + 527 + 0 + 135 = 666.

It is an interprime number because it is at equal distance from previous prime (135270133) and next prime (135270137).

It is not a de Polignac number, because 135270135 - 2¹ = 135270133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 135270099 and 135270108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135270133) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10405389 + ... + 10405401.

It is an arithmetic number, because the mean of its divisors is an integer number (1541470).

Almost surely, 2^135270135 is an apocalyptic number.

135270135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135270135 is an abundant number, since it is smaller than the sum of its proper divisors (197687385).

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

135270135 is a wasteful number, since it uses less digits than its factorization.

135270135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 135270135 is about 11630.5689886609. The cubic root of 135270135 is about 513.3347222185.

The spelling of 135270135 in words is "one hundred thirty-five million, two hundred seventy thousand, one hundred thirty-five".