135787680 has 288 divisors, whose sum is σ = 558230400. Its totient is φ = 29362176.

The previous prime is 135787667. The next prime is 135787711. The reversal of 135787680 is 86787531.

135787680 is a `hidden beast` number, since 1 + 3 + 578 + 76 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191166 + ... + 191874.

It is an arithmetic number, because the mean of its divisors is an integer number (1938300).

Almost surely, 2^135787680 is an apocalyptic number.

135787680 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 135787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279115200).

135787680 is an abundant number, since it is smaller than the sum of its proper divisors (422442720).

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

135787680 is a wasteful number, since it uses less digits than its factorization.

135787680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 135787680 is about 11652.7970891113. The cubic root of 135787680 is about 513.9885637914.

The spelling of 135787680 in words is "one hundred thirty-five million, seven hundred eighty-seven thousand, six hundred eighty".