1141752528 has 180 divisors, whose sum is σ = 3755482848. Its totient is φ = 322842240.

The previous prime is 1141752523. The next prime is 1141752583. The reversal of 1141752528 is 8252571411.

It is a happy number.

1141752528 is a `hidden beast` number, since 114 + 17 + 5 + 2 + 528 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1141752492 and 1141752501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141752523) 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 35 ways as a sum of consecutive naturals, for example, 725983 + ... + 727553.

Almost surely, 2^1141752528 is an apocalyptic number.

1141752528 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 1141752528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877741424).

1141752528 is an abundant number, since it is smaller than the sum of its proper divisors (2613730320).

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

1141752528 is a wasteful number, since it uses less digits than its factorization.

1141752528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1686 counting only the distinct ones).

The product of its digits is 22400, while the sum is 36.

The square root of 1141752528 is about 33789.8287654732. The cubic root of 1141752528 is about 1045.1789649459.

The spelling of 1141752528 in words is "one billion, one hundred forty-one million, seven hundred fifty-two thousand, five hundred twenty-eight".