135849623712 has 192 divisors, whose sum is σ = 412274064384. Its totient is φ = 38710538240.

The previous prime is 135849623681. The next prime is 135849623747. The reversal of 135849623712 is 217326948531.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25614853 + ... + 25620155.

It is an arithmetic number, because the mean of its divisors is an integer number (2147260752).

Almost surely, 2^135849623712 is an apocalyptic number.

135849623712 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 135849623712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206137032192).

135849623712 is an abundant number, since it is smaller than the sum of its proper divisors (276424440672).

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

135849623712 is a wasteful number, since it uses less digits than its factorization.

135849623712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6771 (or 6763 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The spelling of 135849623712 in words is "one hundred thirty-five billion, eight hundred forty-nine million, six hundred twenty-three thousand, seven hundred twelve".