135124360560 has 120 divisors (see below), whose sum is σ = 518620184160. Its totient is φ = 30885566976.

The previous prime is 135124360559. The next prime is 135124360589. The reversal of 135124360560 is 65063421531.

135124360560 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 2 + 43 + 605 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 13400155 + ... + 13410234.

It is an arithmetic number, because the mean of its divisors is an integer number (4321834868).

Almost surely, 2^135124360560 is an apocalyptic number.

135124360560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135124360560 is an abundant number, since it is smaller than the sum of its proper divisors (383495823600).

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

135124360560 is a wasteful number, since it uses less digits than its factorization.

135124360560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26810415 (or 26810406 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 135124360560 in words is "one hundred thirty-five billion, one hundred twenty-four million, three hundred sixty thousand, five hundred sixty".