135141760 has 128 divisors (see below), whose sum is σ = 358142400. Its totient is φ = 48439296.

The previous prime is 135141757. The next prime is 135141793. The reversal of 135141760 is 67141531.

135141760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 307621 + ... + 308059.

Almost surely, 2^135141760 is an apocalyptic number.

135141760 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 135141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179071200).

135141760 is an abundant number, since it is smaller than the sum of its proper divisors (223000640).

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

135141760 is a wasteful number, since it uses less digits than its factorization.

135141760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 135141760 is about 11625.0488171018. The cubic root of 135141760 is about 513.1722813301.

The spelling of 135141760 in words is "one hundred thirty-five million, one hundred forty-one thousand, seven hundred sixty".