135979505280 has 96 divisors (see below), whose sum is σ = 469554249060. Its totient is φ = 36261199872.

The previous prime is 135979505227. The next prime is 135979505287. The reversal of 135979505280 is 82505979531.

135979505280 is a `hidden beast` number, since 1 + 3 + 59 + 7 + 9 + 505 + 2 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125639055936 + 10340449344 = 354456^2 + 101688^2 .

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

It is not an unprimeable number, because it can be changed into a prime (135979505287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11798017 + ... + 11809536.

Almost surely, 2^135979505280 is an apocalyptic number.

135979505280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135979505280 is an abundant number, since it is smaller than the sum of its proper divisors (333574743780).

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

135979505280 is a wasteful number, since it uses less digits than its factorization.

135979505280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23607578 (or 23607563 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 135979505280 in words is "one hundred thirty-five billion, nine hundred seventy-nine million, five hundred five thousand, two hundred eighty".