135544102848 has 672 divisors, whose sum is σ = 500860039680. Its totient is φ = 34025472000.

The previous prime is 135544102747. The next prime is 135544102861. The reversal of 135544102848 is 848201445531.

135544102848 is a `hidden beast` number, since 1 + 3 + 554 + 4 + 10 + 2 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×135544102848² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238214308 + ... + 238214876.

It is an arithmetic number, because the mean of its divisors is an integer number (745327440).

Almost surely, 2^135544102848 is an apocalyptic number.

135544102848 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 135544102848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250430019840).

135544102848 is an abundant number, since it is smaller than the sum of its proper divisors (365315936832).

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

135544102848 is a wasteful number, since it uses less digits than its factorization.

135544102848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 135544102848 in words is "one hundred thirty-five billion, five hundred forty-four million, one hundred two thousand, eight hundred forty-eight".