135442533145216 has 128 divisors (see below), whose sum is σ = 317406394065600. Its totient is φ = 56901985689600.

The previous prime is 135442533145187. The next prime is 135442533145277. The reversal of 135442533145216 is 612541335244531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×135442533145216⁴ (a number of 58 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135442533145216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60645775 + ... + 62839438.

Almost surely, 2^{135442533145216} is an apocalyptic number.

135442533145216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135442533145216 is an abundant number, since it is smaller than the sum of its proper divisors (181963860920384).

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

135442533145216 is a wasteful number, since it uses less digits than its factorization.

135442533145216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123485298 (or 123485286 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 49.

Adding to 135442533145216 its reverse (612541335244531), we get a palindrome (747983868389747).

The spelling of 135442533145216 in words is "one hundred thirty-five trillion, four hundred forty-two billion, five hundred thirty-three million, one hundred forty-five thousand, two hundred sixteen".