5145945900 has 144 divisors (see below), whose sum is σ = 15796801440. Its totient is φ = 1288908800.

The previous prime is 5145945899. The next prime is 5145945901. The reversal of 5145945900 is 95495415.

It is an interprime number because it is at equal distance from previous prime (5145945899) and next prime (5145945901).

It is not an unprimeable number, because it can be changed into a prime (5145945901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4186486 + ... + 4187714.

It is an arithmetic number, because the mean of its divisors is an integer number (109700010).

Almost surely, 2^5145945900 is an apocalyptic number.

5145945900 is a gapful number since it is divisible by the number (50) 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 5145945900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7898400720).

5145945900 is an abundant number, since it is smaller than the sum of its proper divisors (10650855540).

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

5145945900 is a wasteful number, since it uses less digits than its factorization.

5145945900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2084 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The square root of 5145945900 is about 71735.2486578251. The cubic root of 5145945900 is about 1726.4542410135.

The spelling of 5145945900 in words is "five billion, one hundred forty-five million, nine hundred forty-five thousand, nine hundred".