135263601 has 60 divisors (see below), whose sum is σ = 228713716. Its totient is φ = 79548480.

The previous prime is 135263593. The next prime is 135263629. The reversal of 135263601 is 106362531.

135263601 is a `hidden beast` number, since 1 + 3 + 52 + 6 + 3 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 99980001 + 35283600 = 9999^2 + 5940^2 .

It is not a de Polignac number, because 135263601 - 2³ = 135263593 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135263651) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 362451 + ... + 362823.

Almost surely, 2^135263601 is an apocalyptic number.

135263601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135263601 is a deficient number, since it is larger than the sum of its proper divisors (93450115).

135263601 is a wasteful number, since it uses less digits than its factorization.

135263601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 135263601 is about 11630.2880875755. The cubic root of 135263601 is about 513.3264568240.

The spelling of 135263601 in words is "one hundred thirty-five million, two hundred sixty-three thousand, six hundred one".