135541531125 has 384 divisors, whose sum is σ = 337029848064. Its totient is φ = 50575104000.

The previous prime is 135541531121. The next prime is 135541531159. The reversal of 135541531125 is 521135145531.

135541531125 is a `hidden beast` number, since 1 + 35 + 541 + 53 + 11 + 25 = 666.

It is not a de Polignac number, because 135541531125 - 2² = 135541531121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135541531125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135541531121) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41664999 + ... + 41668251.

It is an arithmetic number, because the mean of its divisors is an integer number (877681896).

Almost surely, 2^135541531125 is an apocalyptic number.

135541531125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135541531125 is an abundant number, since it is smaller than the sum of its proper divisors (201488316939).

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

135541531125 is a wasteful number, since it uses less digits than its factorization.

135541531125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3329 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

Adding to 135541531125 its reverse (521135145531), we get a palindrome (656676676656).

It can be divided in two parts, 135541 and 531125, that added together give a palindrome (666666).

The spelling of 135541531125 in words is "one hundred thirty-five billion, five hundred forty-one million, five hundred thirty-one thousand, one hundred twenty-five".