135089760 has 96 divisors (see below), whose sum is σ = 458287200. Its totient is φ = 33251328.

The previous prime is 135089729. The next prime is 135089761. The reversal of 135089760 is 67980531.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135089761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4585 + ... + 17064.

It is an arithmetic number, because the mean of its divisors is an integer number (4773825).

Almost surely, 2^135089760 is an apocalyptic number.

135089760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135089760 is an abundant number, since it is smaller than the sum of its proper divisors (323197440).

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

135089760 is a wasteful number, since it uses less digits than its factorization.

135089760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21680 (or 21672 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 135089760 is about 11622.8120521671. The cubic root of 135089760 is about 513.1064532150.

The spelling of 135089760 in words is "one hundred thirty-five million, eighty-nine thousand, seven hundred sixty".