135527 has 8 divisors (see below), whose sum is σ = 163200. Its totient is φ = 109944.

The previous prime is 135511. The next prime is 135533. The reversal of 135527 is 725531.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135527 - 2⁴ = 135511 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 3⁵ + 5⁴ + 5⁴ + 2¹⁴ + 7⁶ .

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135527.

It is not an unprimeable number, because it can be changed into a prime (135427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 377 + ... + 642.

It is an arithmetic number, because the mean of its divisors is an integer number (20400).

2¹³⁵⁵²⁷ is an apocalyptic number.

135527 is a deficient number, since it is larger than the sum of its proper divisors (27673).

135527 is a wasteful number, since it uses less digits than its factorization.

135527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045.

The product of its digits is 1050, while the sum is 23.

The square root of 135527 is about 368.1399190525. The cubic root of 135527 is about 51.3659441220.

It can be divided in two parts, 13552 and 7, that multiplied together give a square (94864 = 308²).

The spelling of 135527 in words is "one hundred thirty-five thousand, five hundred twenty-seven".