135671777775616 has 104 divisors (see below), whose sum is σ = 272028715003008. Its totient is φ = 67656400896000.

The previous prime is 135671777775607. The next prime is 135671777775617. The reversal of 135671777775616 is 616577777176531.

It is a happy number.

It is a super-2 number, since 2×135671777775616² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135671777775617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6304146936 + ... + 6304168456.

Almost surely, 2^{135671777775616} is an apocalyptic number.

135671777775616 is a gapful number since it is divisible by the number (16) 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 135671777775616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136014357501504).

135671777775616 is an abundant number, since it is smaller than the sum of its proper divisors (136356937227392).

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

135671777775616 is an equidigital number, since it uses as much as digits as its factorization.

135671777775616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25547 (or 25525 counting only the distinct ones).

The product of its digits is 1905913800, while the sum is 76.

The spelling of 135671777775616 in words is "one hundred thirty-five trillion, six hundred seventy-one billion, seven hundred seventy-seven million, seven hundred seventy-five thousand, six hundred sixteen".