123531264 has 104 divisors (see below), whose sum is σ = 366301520. Its totient is φ = 41140224.

The previous prime is 123531263. The next prime is 123531277. The reversal of 123531264 is 462135321.

123531264 is a `hidden beast` number, since 123 + 531 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123531263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110034 + ... + 111150.

It is an arithmetic number, because the mean of its divisors is an integer number (3522130).

Almost surely, 2^123531264 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 123531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183150760).

123531264 is an abundant number, since it is smaller than the sum of its proper divisors (242770256).

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

123531264 is an equidigital number, since it uses as much as digits as its factorization.

123531264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1122 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 123531264 is about 11114.4619302960. The cubic root of 123531264 is about 498.0339648775.

Adding to 123531264 its reverse (462135321), we get a palindrome (585666585).

The spelling of 123531264 in words is "one hundred twenty-three million, five hundred thirty-one thousand, two hundred sixty-four".