135820011376 has 80 divisors (see below), whose sum is σ = 304500510720. Its totient is φ = 57485986560.

The previous prime is 135820011347. The next prime is 135820011377. The reversal of 135820011376 is 673110028531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135820011377) 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, 2950650 + ... + 2996326.

It is an arithmetic number, because the mean of its divisors is an integer number (3806256384).

Almost surely, 2^135820011376 is an apocalyptic number.

135820011376 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 135820011376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152250255360).

135820011376 is an abundant number, since it is smaller than the sum of its proper divisors (168680499344).

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

135820011376 is a wasteful number, since it uses less digits than its factorization.

135820011376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46022 (or 46016 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 135820011376 in words is "one hundred thirty-five billion, eight hundred twenty million, eleven thousand, three hundred seventy-six".