135664305 has 64 divisors (see below), whose sum is σ = 257126400. Its totient is φ = 59800320.

The previous prime is 135664273. The next prime is 135664307. The reversal of 135664305 is 503466531.

It is not a de Polignac number, because 135664305 - 2⁵ = 135664273 is a prime.

It is a super-2 number, since 2×135664305² = 36809607302266050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135664307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377716 + ... + 378074.

It is an arithmetic number, because the mean of its divisors is an integer number (4017600).

Almost surely, 2^135664305 is an apocalyptic number.

135664305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135664305 is a deficient number, since it is larger than the sum of its proper divisors (121462095).

135664305 is a wasteful number, since it uses less digits than its factorization.

135664305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494.

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 135664305 is about 11647.5020927236. The cubic root of 135664305 is about 513.8328487460.

It can be divided in two parts, 13566 and 4305, that added together give a palindrome (17871).

The spelling of 135664305 in words is "one hundred thirty-five million, six hundred sixty-four thousand, three hundred five".