135091541 has 16 divisors (see below), whose sum is σ = 153362160. Its totient is φ = 118110720.

The previous prime is 135091513. The next prime is 135091543. The reversal of 135091541 is 145190531.

135091541 = 1076² + 1077² + ... + 1181².

It can be written as a sum of positive squares in 8 ways, for example, as 1110916 + 133980625 = 1054^2 + 11575^2 .

It is a de Polignac number, because none of the positive numbers 2^k-135091541 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135091543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16601 + ... + 23361.

It is an arithmetic number, because the mean of its divisors is an integer number (9585135).

Almost surely, 2^135091541 is an apocalyptic number.

It is an amenable number.

135091541 is a deficient number, since it is larger than the sum of its proper divisors (18270619).

135091541 is a wasteful number, since it uses less digits than its factorization.

135091541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6856.

The product of its (nonzero) digits is 2700, while the sum is 29.

The square root of 135091541 is about 11622.8886684851. Note that the first 3 decimals coincide. The cubic root of 135091541 is about 513.1087081073.

The spelling of 135091541 in words is "one hundred thirty-five million, ninety-one thousand, five hundred forty-one".