135434958072 has 64 divisors (see below), whose sum is σ = 368697744000. Its totient is φ = 41294139264.

The previous prime is 135434958067. The next prime is 135434958073. The reversal of 135434958072 is 270859434531.

135434958072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135434958073) 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, 5107578 + ... + 5134025.

It is an arithmetic number, because the mean of its divisors is an integer number (5760902250).

Almost surely, 2^135434958072 is an apocalyptic number.

135434958072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135434958072 is an abundant number, since it is smaller than the sum of its proper divisors (233262785928).

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

135434958072 is a wasteful number, since it uses less digits than its factorization.

135434958072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10241660 (or 10241656 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The spelling of 135434958072 in words is "one hundred thirty-five billion, four hundred thirty-four million, nine hundred fifty-eight thousand, seventy-two".