135218965248 has 108 divisors (see below), whose sum is σ = 399956695320. Its totient is φ = 45062797824.

The previous prime is 135218965207. The next prime is 135218965283. The reversal of 135218965248 is 842569812531.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

135218965248 is a `hidden beast` number, since 1 + 3 + 5 + 21 + 8 + 96 + 524 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 135218965194 and 135218965203.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30569565 + ... + 30573987.

Almost surely, 2^135218965248 is an apocalyptic number.

135218965248 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 135218965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199978347660).

135218965248 is an abundant number, since it is smaller than the sum of its proper divisors (264737730072).

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

135218965248 is an frugal number, since it uses more digits than its factorization.

135218965248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8871 (or 4428 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 135218965248 in words is "one hundred thirty-five billion, two hundred eighteen million, nine hundred sixty-five thousand, two hundred forty-eight".