135781088616 has 192 divisors, whose sum is σ = 411667401600. Its totient is φ = 41799276288.

The previous prime is 135781088591. The next prime is 135781088617. The reversal of 135781088616 is 616880187531.

135781088616 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 8 + 10 + 8 + 8 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (135781088617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1244290 + ... + 1349006.

It is an arithmetic number, because the mean of its divisors is an integer number (2144101050).

Almost surely, 2^135781088616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135781088616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205833700800).

135781088616 is an abundant number, since it is smaller than the sum of its proper divisors (275886312984).

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

135781088616 is a wasteful number, since it uses less digits than its factorization.

135781088616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104790 (or 104774 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 135781088616 in words is "one hundred thirty-five billion, seven hundred eighty-one million, eighty-eight thousand, six hundred sixteen".