231126144 has 64 divisors (see below), whose sum is σ = 616471680. Its totient is φ = 76723200.

The previous prime is 231126139. The next prime is 231126151. The reversal of 231126144 is 441621132.

231126144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102954 + ... + 105174.

It is an arithmetic number, because the mean of its divisors is an integer number (9632370).

Almost surely, 2^231126144 is an apocalyptic number.

231126144 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 231126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308235840).

231126144 is an abundant number, since it is smaller than the sum of its proper divisors (385345536).

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

231126144 is a wasteful number, since it uses less digits than its factorization.

231126144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2509 (or 2497 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 231126144 is about 15202.8334201227. The cubic root of 231126144 is about 613.6909110019.

Adding to 231126144 its reverse (441621132), we get a palindrome (672747276).

The spelling of 231126144 in words is "two hundred thirty-one million, one hundred twenty-six thousand, one hundred forty-four".