135705202116 has 144 divisors (see below), whose sum is σ = 369429439680. Its totient is φ = 38608486400.

The previous prime is 135705202097. The next prime is 135705202147. The reversal of 135705202116 is 611202507531.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10336036 + ... + 10349156.

It is an arithmetic number, because the mean of its divisors is an integer number (2565482220).

Almost surely, 2^135705202116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135705202116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184714719840).

135705202116 is an abundant number, since it is smaller than the sum of its proper divisors (233724237564).

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

135705202116 is a wasteful number, since it uses less digits than its factorization.

135705202116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13586 (or 13573 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

Adding to 135705202116 its reverse (611202507531), we get a palindrome (746907709647).

The spelling of 135705202116 in words is "one hundred thirty-five billion, seven hundred five million, two hundred two thousand, one hundred sixteen".