135305000067 has 32 divisors (see below), whose sum is σ = 201191627520. Its totient is φ = 80381306880.

The previous prime is 135305000021. The next prime is 135305000081. The reversal of 135305000067 is 760000503531.

It is not a de Polignac number, because 135305000067 - 2⁷ = 135304999939 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135304999998 and 135305000043.

It is not an unprimeable number, because it can be changed into a prime (135305000267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1629067 + ... + 1710107.

It is an arithmetic number, because the mean of its divisors is an integer number (6287238360).

Almost surely, 2^135305000067 is an apocalyptic number.

135305000067 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

135305000067 is a deficient number, since it is larger than the sum of its proper divisors (65886627453).

135305000067 is a wasteful number, since it uses less digits than its factorization.

135305000067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82803.

The product of its (nonzero) digits is 9450, while the sum is 30.

Adding to 135305000067 its reverse (760000503531), we get a palindrome (895305503598).

The spelling of 135305000067 in words is "one hundred thirty-five billion, three hundred five million, sixty-seven", and thus it is an aban number.