1152175752 has 336 divisors, whose sum is σ = 4032383040. Its totient is φ = 302050944.

The previous prime is 1152175723. The next prime is 1152175763. The reversal of 1152175752 is 2575712511.

1152175752 is a `hidden beast` number, since 11 + 521 + 75 + 7 + 52 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 6899173 + ... + 6899339.

It is an arithmetic number, because the mean of its divisors is an integer number (12001140).

Almost surely, 2^1152175752 is an apocalyptic number.

1152175752 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 1152175752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016191520).

1152175752 is an abundant number, since it is smaller than the sum of its proper divisors (2880207288).

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

1152175752 is a wasteful number, since it uses less digits than its factorization.

1152175752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 192 counting only the distinct ones).

The product of its digits is 24500, while the sum is 36.

The square root of 1152175752 is about 33943.7144696923. The cubic root of 1152175752 is about 1048.3498652206.

The spelling of 1152175752 in words is "one billion, one hundred fifty-two million, one hundred seventy-five thousand, seven hundred fifty-two".