135541408 has 96 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 60579840.

The previous prime is 135541403. The next prime is 135541409. The reversal of 135541408 is 804145531.

It is a self number, because there is not a number n which added to its sum of digits gives 135541408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135541403) 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, 1315885 + ... + 1315987.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2^135541408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135541408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

135541408 is an abundant number, since it is smaller than the sum of its proper divisors (161657312).

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

135541408 is a wasteful number, since it uses less digits than its factorization.

135541408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 135541408 is about 11642.2252168561. The cubic root of 135541408 is about 513.6776431111.

Adding to 135541408 its reverse (804145531), we get a palindrome (939686939).

The spelling of 135541408 in words is "one hundred thirty-five million, five hundred forty-one thousand, four hundred eight".