135776560 has 40 divisors (see below), whose sum is σ = 316564560. Its totient is φ = 54158592.

The previous prime is 135776551. The next prime is 135776587. The reversal of 135776560 is 65677531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28939 + ... + 33301.

It is an arithmetic number, because the mean of its divisors is an integer number (7914114).

Almost surely, 2^135776560 is an apocalyptic number.

135776560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135776560 is an abundant number, since it is smaller than the sum of its proper divisors (180788000).

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

135776560 is a wasteful number, since it uses less digits than its factorization.

135776560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4765 (or 4759 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 40.

The square root of 135776560 is about 11652.3199406813. The cubic root of 135776560 is about 513.9745327962.

The spelling of 135776560 in words is "one hundred thirty-five million, seven hundred seventy-six thousand, five hundred sixty".