135066166100 has 72 divisors (see below), whose sum is σ = 303407747328. Its totient is φ = 52135142400.

The previous prime is 135066166093. The next prime is 135066166117. The reversal of 135066166100 is 1661660531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1032587 + ... + 1156013.

Almost surely, 2^135066166100 is an apocalyptic number.

135066166100 is a gapful number since it is divisible by the number (10) 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 135066166100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151703873664).

135066166100 is an abundant number, since it is smaller than the sum of its proper divisors (168341581228).

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

135066166100 is a wasteful number, since it uses less digits than its factorization.

135066166100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123825 (or 123818 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 135066166100 in words is "one hundred thirty-five billion, sixty-six million, one hundred sixty-six thousand, one hundred".