135106232616 has 96 divisors (see below), whose sum is σ = 387525116160. Its totient is φ = 42376628736.

The previous prime is 135106232579. The next prime is 135106232629. The reversal of 135106232616 is 616232601531.

135106232616 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 0 + 6 + 2 + 32 + 616 = 666.

135106232616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 6946281 + ... + 6965703.

It is an arithmetic number, because the mean of its divisors is an integer number (4036719960).

Almost surely, 2^135106232616 is an apocalyptic number.

It is an amenable number.

135106232616 is an abundant number, since it is smaller than the sum of its proper divisors (252418883544).

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

135106232616 is a wasteful number, since it uses less digits than its factorization.

135106232616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25135 (or 25128 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 135106232616 in words is "one hundred thirty-five billion, one hundred six million, two hundred thirty-two thousand, six hundred sixteen".