135127807488 has 120 divisors (see below), whose sum is σ = 395331287208. Its totient is φ = 44425469952.

The previous prime is 135127807487. The next prime is 135127807489. The reversal of 135127807488 is 884708721531.

135127807488 is a `hidden beast` number, since 1 + 3 + 512 + 7 + 80 + 7 + 48 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (135127807487) and next prime (135127807489).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135127807481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135531 + ... + 537237.

Almost surely, 2^135127807488 is an apocalyptic number.

135127807488 is a gapful number since it is divisible by the number (18) 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 135127807488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197665643604).

135127807488 is an abundant number, since it is smaller than the sum of its proper divisors (260203479720).

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

135127807488 is an equidigital number, since it uses as much as digits as its factorization.

135127807488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401804 (or 401785 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 135127807488 in words is "one hundred thirty-five billion, one hundred twenty-seven million, eight hundred seven thousand, four hundred eighty-eight".