135888910848 has 640 divisors, whose sum is σ = 446885683200. Its totient is φ = 40577531904.

The previous prime is 135888910793. The next prime is 135888910903. The reversal of 135888910848 is 848019888531.

135888910848 is a `hidden beast` number, since 1 + 3 + 588 + 8 + 9 + 1 + 0 + 8 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (135888910793) and next prime (135888910903).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 865534386 + ... + 865534542.

It is an arithmetic number, because the mean of its divisors is an integer number (698258880).

Almost surely, 2^135888910848 is an apocalyptic number.

135888910848 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 135888910848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223442841600).

135888910848 is an abundant number, since it is smaller than the sum of its proper divisors (310996772352).

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

135888910848 is a wasteful number, since it uses less digits than its factorization.

135888910848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 63.

The spelling of 135888910848 in words is "one hundred thirty-five billion, eight hundred eighty-eight million, nine hundred ten thousand, eight hundred forty-eight".