135224432541 has 48 divisors (see below), whose sum is σ = 219044816640. Its totient is φ = 79664549760.

The previous prime is 135224432527. The next prime is 135224432561. The reversal of 135224432541 is 145234422531.

It is a happy number.

135224432541 is a `hidden beast` number, since 1 + 3 + 52 + 24 + 43 + 2 + 541 = 666.

It is not a de Polignac number, because 135224432541 - 2⁹ = 135224432029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135224432496 and 135224432505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135224432521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4023555 + ... + 4057023.

It is an arithmetic number, because the mean of its divisors is an integer number (4563433680).

Almost surely, 2^135224432541 is an apocalyptic number.

135224432541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135224432541 is a deficient number, since it is larger than the sum of its proper divisors (83820384099).

135224432541 is a wasteful number, since it uses less digits than its factorization.

135224432541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34626 (or 34623 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

It can be divided in two parts, 135224 and 432541, that added together give a palindrome (567765).

The spelling of 135224432541 in words is "one hundred thirty-five billion, two hundred twenty-four million, four hundred thirty-two thousand, five hundred forty-one".