1157053248 has 336 divisors, whose sum is σ = 3805488960. Its totient is φ = 346374144.

The previous prime is 1157053171. The next prime is 1157053267. The reversal of 1157053248 is 8423507511.

1157053248 is a `hidden beast` number, since 1 + 15 + 70 + 532 + 48 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11928336 + ... + 11928432.

It is an arithmetic number, because the mean of its divisors is an integer number (11325860).

Almost surely, 2^1157053248 is an apocalyptic number.

1157053248 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 1157053248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902744480).

1157053248 is an abundant number, since it is smaller than the sum of its proper divisors (2648435712).

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

1157053248 is an equidigital number, since it uses as much as digits as its factorization.

1157053248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1157053248 is about 34015.4854147343. The cubic root of 1157053248 is about 1049.8271062266.

The spelling of 1157053248 in words is "one billion, one hundred fifty-seven million, fifty-three thousand, two hundred forty-eight".