135060775788576 has 96 divisors (see below), whose sum is σ = 396198240411456. Its totient is φ = 39929275904000.

The previous prime is 135060775788511. The next prime is 135060775788593. The reversal of 135060775788576 is 675887577060531.

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

It is a super-2 number, since 2×135060775788576² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135060775788498 and 135060775788507.

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, 1559694045 + ... + 1559780636.

It is an arithmetic number, because the mean of its divisors is an integer number (4127065004286).

Almost surely, 2^{135060775788576} is an apocalyptic number.

135060775788576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135060775788576 is an abundant number, since it is smaller than the sum of its proper divisors (261137464622880).

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

135060775788576 is a wasteful number, since it uses less digits than its factorization.

135060775788576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119474746 (or 3119474738 counting only the distinct ones).

The product of its (nonzero) digits is 2074464000, while the sum is 75.

The spelling of 135060775788576 in words is "one hundred thirty-five trillion, sixty billion, seven hundred seventy-five million, seven hundred eighty-eight thousand, five hundred seventy-six".