135768080 has 160 divisors (see below), whose sum is σ = 383975424. Its totient is φ = 43642368.

The previous prime is 135768077. The next prime is 135768089. The reversal of 135768080 is 80867531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135768089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068977 + ... + 1069103.

Almost surely, 2^135768080 is an apocalyptic number.

135768080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135768080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191987712).

135768080 is an abundant number, since it is smaller than the sum of its proper divisors (248207344).

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

135768080 is a wasteful number, since it uses less digits than its factorization.

135768080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 135768080 is about 11651.9560589628. The cubic root of 135768080 is about 513.9638323858.

The spelling of 135768080 in words is "one hundred thirty-five million, seven hundred sixty-eight thousand, eighty".