36126710144 has 128 divisors (see below), whose sum is σ = 86867182080. Its totient is φ = 14630584320.

The previous prime is 36126710141. The next prime is 36126710153. The reversal of 36126710144 is 44101762163.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36126710141) 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, 1699904 + ... + 1721024.

It is an arithmetic number, because the mean of its divisors is an integer number (678649860).

Almost surely, 2^36126710144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36126710144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43433591040).

36126710144 is an abundant number, since it is smaller than the sum of its proper divisors (50740471936).

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

36126710144 is a wasteful number, since it uses less digits than its factorization.

36126710144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21248 (or 21236 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 36126710144 in words is "thirty-six billion, one hundred twenty-six million, seven hundred ten thousand, one hundred forty-four".