1324729152 has 84 divisors (see below), whose sum is σ = 3802180356. Its totient is φ = 440985600.

The previous prime is 1324729141. The next prime is 1324729157. The reversal of 1324729152 is 2519274231.

1324729152 is a `hidden beast` number, since 1 + 32 + 472 + 9 + 152 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 493906176 + 830822976 = 22224^2 + 28824^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324729157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 734652 + ... + 736452.

Almost surely, 2^1324729152 is an apocalyptic number.

1324729152 is a gapful number since it is divisible by the number (12) 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 1324729152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901090178).

1324729152 is an abundant number, since it is smaller than the sum of its proper divisors (2477451204).

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

1324729152 is a wasteful number, since it uses less digits than its factorization.

1324729152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3083 counting only the distinct ones).

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

The square root of 1324729152 is about 36396.8288728565. The cubic root of 1324729152 is about 1098.2697735604.

The spelling of 1324729152 in words is "one billion, three hundred twenty-four million, seven hundred twenty-nine thousand, one hundred fifty-two".