1152154000 has 80 divisors (see below), whose sum is σ = 2793254256. Its totient is φ = 459648000.

The previous prime is 1152153931. The next prime is 1152154007. The reversal of 1152154000 is 4512511.

It can be written as a sum of positive squares in 8 ways, for example, as 721674496 + 430479504 = 26864^2 + 20748^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152154007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1513620 + ... + 1514380.

Almost surely, 2^1152154000 is an apocalyptic number.

1152154000 is a gapful number since it is divisible by the number (10) 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 1152154000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396627128).

1152154000 is an abundant number, since it is smaller than the sum of its proper divisors (1641100256).

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

1152154000 is an equidigital number, since it uses as much as digits as its factorization.

1152154000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 1152154000 is about 33943.3940553976. The cubic root of 1152154000 is about 1048.3432678909.

Adding to 1152154000 its reverse (4512511), we get a palindrome (1156666511).

The spelling of 1152154000 in words is "one billion, one hundred fifty-two million, one hundred fifty-four thousand".