135710431488 has 216 divisors, whose sum is σ = 397750953600. Its totient is φ = 44492636160.

The previous prime is 135710431459. The next prime is 135710431499. The reversal of 135710431488 is 884134017531.

135710431488 is a `hidden beast` number, since 1 + 3 + 571 + 0 + 4 + 31 + 48 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97004613 + ... + 97006011.

It is an arithmetic number, because the mean of its divisors is an integer number (1841439600).

Almost surely, 2^135710431488 is an apocalyptic number.

135710431488 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 135710431488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198875476800).

135710431488 is an abundant number, since it is smaller than the sum of its proper divisors (262040522112).

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

135710431488 is a wasteful number, since it uses less digits than its factorization.

135710431488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 135710431488 in words is "one hundred thirty-five billion, seven hundred ten million, four hundred thirty-one thousand, four hundred eighty-eight".