135541 has 12 divisors (see below), whose sum is σ = 167008. Its totient is φ = 107712.

The previous prime is 135533. The next prime is 135559. The reversal of 135541 is 145531.

135541 = 35² + 36² + ... + 76².

It is not a de Polignac number, because 135541 - 2³ = 135533 is a prime.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1990 + ... + 2056.

2¹³⁵⁵⁴¹ is an apocalyptic number.

It is an amenable number.

135541 is a deficient number, since it is larger than the sum of its proper divisors (31467).

135541 is an equidigital number, since it uses as much as digits as its factorization.

135541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its digits is 300, while the sum is 19.

The square root of 135541 is about 368.1589330710. The cubic root of 135541 is about 51.3677127695.

It can be divided in two parts, 1355 and 41, that multiplied together give a palindrome (55555).

The spelling of 135541 in words is "one hundred thirty-five thousand, five hundred forty-one".