135776272905 has 288 divisors, whose sum is σ = 306740921760. Its totient is φ = 55002931200.

The previous prime is 135776272903. The next prime is 135776272939. The reversal of 135776272905 is 509272677531.

135776272905 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 7 + 627 + 2 + 9 + 0 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 43668878841 + 92107394064 = 208971^2 + 303492^2 .

It is not a de Polignac number, because 135776272905 - 2¹ = 135776272903 is a prime.

It is not an unprimeable number, because it can be changed into a prime (135776272903) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 193689055 + ... + 193689755.

It is an arithmetic number, because the mean of its divisors is an integer number (1065072645).

Almost surely, 2^135776272905 is an apocalyptic number.

135776272905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135776272905 is an abundant number, since it is smaller than the sum of its proper divisors (170964648855).

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

135776272905 is a wasteful number, since it uses less digits than its factorization.

135776272905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 135776272905 in words is "one hundred thirty-five billion, seven hundred seventy-six million, two hundred seventy-two thousand, nine hundred five".