135024100407 has 24 divisors (see below), whose sum is σ = 228921172896. Its totient is φ = 75071313216.

The previous prime is 135024100361. The next prime is 135024100429. The reversal of 135024100407 is 704001420531.

135024100407 is a `hidden beast` number, since 13 + 5 + 0 + 241 + 0 + 0 + 407 = 666.

It is not a de Polignac number, because 135024100407 - 2⁷ = 135024100279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135024102407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28960368 + ... + 28965029.

It is an arithmetic number, because the mean of its divisors is an integer number (9538382204).

Almost surely, 2^135024100407 is an apocalyptic number.

135024100407 is a deficient number, since it is larger than the sum of its proper divisors (93897072489).

135024100407 is a wasteful number, since it uses less digits than its factorization.

135024100407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57925447 (or 57925444 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 135024100407 its reverse (704001420531), we get a palindrome (839025520938).

The spelling of 135024100407 in words is "one hundred thirty-five billion, twenty-four million, one hundred thousand, four hundred seven".