1323157248 has 576 divisors, whose sum is σ = 4944844800. Its totient is φ = 340623360.

The previous prime is 1323157223. The next prime is 1323157249. The reversal of 1323157248 is 8427513231.

1323157248 is a `hidden beast` number, since 13 + 2 + 31 + 572 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

Its product of digits (40320) is a multiple of the sum of its prime divisors (105).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323157249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32272108 + ... + 32272148.

It is an arithmetic number, because the mean of its divisors is an integer number (8584800).

Almost surely, 2^1323157248 is an apocalyptic number.

1323157248 is a gapful number since it is divisible by the number (18) 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 1323157248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472422400).

1323157248 is an abundant number, since it is smaller than the sum of its proper divisors (3621687552).

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

1323157248 is a wasteful number, since it uses less digits than its factorization.

1323157248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 105 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 1323157248 is about 36375.2284941277. The cubic root of 1323157248 is about 1097.8352047460.

The spelling of 1323157248 in words is "one billion, three hundred twenty-three million, one hundred fifty-seven thousand, two hundred forty-eight".