12735090144 has 144 divisors (see below), whose sum is σ = 41563791360. Its totient is φ = 3623235840.

The previous prime is 12735090113. The next prime is 12735090149. The reversal of 12735090144 is 44109053721.

12735090144 is a `hidden beast` number, since 1 + 2 + 7 + 3 + 509 + 0 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12735090099 and 12735090108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12735090149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 468609 + ... + 495039.

It is an arithmetic number, because the mean of its divisors is an integer number (288637440).

Almost surely, 2^12735090144 is an apocalyptic number.

12735090144 is a gapful number since it is divisible by the number (14) 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 12735090144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20781895680).

12735090144 is an abundant number, since it is smaller than the sum of its proper divisors (28828701216).

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

12735090144 is a wasteful number, since it uses less digits than its factorization.

12735090144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26693 (or 26682 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12735090144 in words is "twelve billion, seven hundred thirty-five million, ninety thousand, one hundred forty-four".