135615272112 has 80 divisors (see below), whose sum is σ = 389637740160. Its totient is φ = 45161928000.

The previous prime is 135615272059. The next prime is 135615272129. The reversal of 135615272112 is 211272516531.

135615272112 is a `hidden beast` number, since 1 + 3 + 5 + 615 + 2 + 7 + 21 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 304687 + ... + 603377.

It is an arithmetic number, because the mean of its divisors is an integer number (4870471752).

Almost surely, 2^135615272112 is an apocalyptic number.

135615272112 is a gapful number since it is divisible by the number (12) 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 135615272112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194818870080).

135615272112 is an abundant number, since it is smaller than the sum of its proper divisors (254022468048).

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

135615272112 is a wasteful number, since it uses less digits than its factorization.

135615272112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299759 (or 299747 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

Adding to 135615272112 its reverse (211272516531), we get a palindrome (346887788643).

The spelling of 135615272112 in words is "one hundred thirty-five billion, six hundred fifteen million, two hundred seventy-two thousand, one hundred twelve".