1154305152 has 648 divisors, whose sum is σ = 4598975745. Its totient is φ = 276756480.

The previous prime is 1154305147. The next prime is 1154305171. The reversal of 1154305152 is 2515034511.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1154305152 is a `hidden beast` number, since 115 + 4 + 30 + 515 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 986965056 + 167340096 = 31416^2 + 12936^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=24024.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 88792698 + ... + 88792710.

Almost surely, 2^1154305152 is an apocalyptic number.

1154305152 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 1154305152

1154305152 is an abundant number, since it is smaller than the sum of its proper divisors (3444670593).

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

1154305152 is a wasteful number, since it uses less digits than its factorization.

1154305152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 1154305152 is about 33975.0666224512. The cubic root of 1154305152 is about 1048.9953056297.

Adding to 1154305152 its reverse (2515034511), we get a palindrome (3669339663).

The spelling of 1154305152 in words is "one billion, one hundred fifty-four million, three hundred five thousand, one hundred fifty-two".