135042607240704 has 100 divisors (see below), whose sum is σ = 403066624643364. Its totient is φ = 45014202399744.

The previous prime is 135042607240687. The next prime is 135042607240711. The reversal of 135042607240704 is 407042706240531.

135042607240704 is a `hidden beast` number, since 1 + 3 + 50 + 426 + 0 + 72 + 40 + 70 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 135042607240704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1628076382 + ... + 1628159325.

Almost surely, 2^{135042607240704} is an apocalyptic number.

It is an amenable number.

135042607240704 is an abundant number, since it is smaller than the sum of its proper divisors (268024017402660).

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

135042607240704 is an frugal number, since it uses more digits than its factorization.

135042607240704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256235737 (or 3256235712 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 135042607240704 in words is "one hundred thirty-five trillion, forty-two billion, six hundred seven million, two hundred forty thousand, seven hundred four".