135133414024024 has 32 divisors (see below), whose sum is σ = 273498646357440. Its totient is φ = 62224559712000.

The previous prime is 135133414023973. The next prime is 135133414024079. The reversal of 135133414024024 is 420420414331531.

It is a super-2 number, since 2×135133414024024² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1507333077 + ... + 1507422724.

It is an arithmetic number, because the mean of its divisors is an integer number (8546832698670).

Almost surely, 2^{135133414024024} is an apocalyptic number.

It is an amenable number.

135133414024024 is an abundant number, since it is smaller than the sum of its proper divisors (138365232333416).

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

135133414024024 is a wasteful number, since it uses less digits than its factorization.

135133414024024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014756251 (or 3014756247 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 135133414024024 its reverse (420420414331531), we get a palindrome (555553828355555).

The spelling of 135133414024024 in words is "one hundred thirty-five trillion, one hundred thirty-three billion, four hundred fourteen million, twenty-four thousand, twenty-four".