1545130000 has 200 divisors, whose sum is σ = 4052921400. Its totient is φ = 568320000.

The previous prime is 1545129991. The next prime is 1545130007. The reversal of 1545130000 is 315451.

It can be written as a sum of positive squares in 20 ways, for example, as 1440354304 + 104775696 = 37952^2 + 10236^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a self number, because there is not a number n which added to its sum of digits gives 1545130000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1545130007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10369926 + ... + 10370074.

It is an arithmetic number, because the mean of its divisors is an integer number (20264607).

Almost surely, 2^1545130000 is an apocalyptic number.

1545130000 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 1545130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026460700).

1545130000 is an abundant number, since it is smaller than the sum of its proper divisors (2507791400).

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

1545130000 is a wasteful number, since it uses less digits than its factorization.

1545130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 1545130000 is about 39308.1416502994. The cubic root of 1545130000 is about 1156.0812074032.

Adding to 1545130000 its reverse (315451), we get a palindrome (1545445451).

It can be divided in two parts, 15451 and 30000, that added together give a triangular number (45451 = T₃₀₁).

The spelling of 1545130000 in words is "one billion, five hundred forty-five million, one hundred thirty thousand".