135577575 has 72 divisors (see below), whose sum is σ = 282422400. Its totient is φ = 60886080.

The previous prime is 135577573. The next prime is 135577609. The reversal of 135577575 is 575775531.

135577575 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 77 + 575 = 666.

It is not a de Polignac number, because 135577575 - 2¹ = 135577573 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 135577575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135577573) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92196 + ... + 93654.

Almost surely, 2^135577575 is an apocalyptic number.

135577575 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135577575 is an abundant number, since it is smaller than the sum of its proper divisors (146844825).

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

135577575 is a wasteful number, since it uses less digits than its factorization.

135577575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1533 counting only the distinct ones).

The product of its digits is 643125, while the sum is 45.

The square root of 135577575 is about 11643.7783816079. The cubic root of 135577575 is about 513.7233278639.

The spelling of 135577575 in words is "one hundred thirty-five million, five hundred seventy-seven thousand, five hundred seventy-five".