135006507 has 20 divisors (see below), whose sum is σ = 202079680. Its totient is φ = 89824464.

The previous prime is 135006499. The next prime is 135006511. The reversal of 135006507 is 705600531.

135006507 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 0 + 650 + 7 = 666.

It is not a de Polignac number, because 135006507 - 2³ = 135006499 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135006517) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48294 + ... + 51012.

It is an arithmetic number, because the mean of its divisors is an integer number (10103984).

Almost surely, 2^135006507 is an apocalyptic number.

135006507 is a deficient number, since it is larger than the sum of its proper divisors (67073173).

135006507 is an equidigital number, since it uses as much as digits as its factorization.

135006507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3335 counting only the distinct ones).

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

The square root of 135006507 is about 11619.2300519441. The cubic root of 135006507 is about 513.0010259547.

The spelling of 135006507 in words is "one hundred thirty-five million, six thousand, five hundred seven".