135151821136 has 80 divisors (see below), whose sum is σ = 278607247360. Its totient is φ = 63508644864.

The previous prime is 135151821011. The next prime is 135151821137. The reversal of 135151821136 is 631128151531.

It is a junction number, because it is equal to n+sod(n) for n = 135151821095 and 135151821104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135151821137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13932640 + ... + 13942336.

It is an arithmetic number, because the mean of its divisors is an integer number (3482590592).

Almost surely, 2^135151821136 is an apocalyptic number.

135151821136 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 135151821136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139303623680).

135151821136 is an abundant number, since it is smaller than the sum of its proper divisors (143455426224).

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

135151821136 is an equidigital number, since it uses as much as digits as its factorization.

135151821136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9889 (or 9845 counting only the distinct ones).

The product of its digits is 21600, while the sum is 37.

Adding to 135151821136 its reverse (631128151531), we get a palindrome (766279972667).

The spelling of 135151821136 in words is "one hundred thirty-five billion, one hundred fifty-one million, eight hundred twenty-one thousand, one hundred thirty-six".