135061634416992 has 96 divisors (see below), whose sum is σ = 356685571648224. Its totient is φ = 44747948851200.

The previous prime is 135061634416981. The next prime is 135061634417023. The reversal of 135061634416992 is 299614436160531.

135061634416992 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30544192 + ... + 34685312.

It is an arithmetic number, because the mean of its divisors is an integer number (3715474704669).

Almost surely, 2^{135061634416992} is an apocalyptic number.

135061634416992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135061634416992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178342785824112).

135061634416992 is an abundant number, since it is smaller than the sum of its proper divisors (221623937231232).

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

135061634416992 is a wasteful number, since it uses less digits than its factorization.

135061634416992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4143192 (or 4143184 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 60.

The spelling of 135061634416992 in words is "one hundred thirty-five trillion, sixty-one billion, six hundred thirty-four million, four hundred sixteen thousand, nine hundred ninety-two".