261126144 has 144 divisors (see below), whose sum is σ = 780212160. Its totient is φ = 84049920.

The previous prime is 261126133. The next prime is 261126157. The reversal of 261126144 is 441621162.

261126144 is a `hidden beast` number, since 2 + 611 + 2 + 6 + 1 + 44 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571164 + ... + 571620.

It is an arithmetic number, because the mean of its divisors is an integer number (5418140).

Almost surely, 2^261126144 is an apocalyptic number.

261126144 is a gapful number since it is divisible by the number (24) 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 261126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390106080).

261126144 is an abundant number, since it is smaller than the sum of its proper divisors (519086016).

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

261126144 is a wasteful number, since it uses less digits than its factorization.

261126144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 493 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 261126144 is about 16159.3980085893. The cubic root of 261126144 is about 639.1705922604.

The spelling of 261126144 in words is "two hundred sixty-one million, one hundred twenty-six thousand, one hundred forty-four".