135498516768 has 96 divisors (see below), whose sum is σ = 395398987200. Its totient is φ = 45143889408.

The previous prime is 135498516767. The next prime is 135498516787. The reversal of 135498516768 is 867615894531.

135498516768 is a `hidden beast` number, since 1 + 3 + 5 + 49 + 8 + 516 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (135498516761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1762068 + ... + 1837356.

It is an arithmetic number, because the mean of its divisors is an integer number (4118739450).

Almost surely, 2^135498516768 is an apocalyptic number.

135498516768 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 135498516768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197699493600).

135498516768 is an abundant number, since it is smaller than the sum of its proper divisors (259900470432).

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

135498516768 is a wasteful number, since it uses less digits than its factorization.

135498516768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77391 (or 77377 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 135498516768 in words is "one hundred thirty-five billion, four hundred ninety-eight million, five hundred sixteen thousand, seven hundred sixty-eight".