5145414300 has 288 divisors, whose sum is σ = 18198835200. Its totient is φ = 1239217920.

The previous prime is 5145414229. The next prime is 5145414311. The reversal of 5145414300 is 34145415.

It is a happy number.

5145414300 is a `hidden beast` number, since 514 + 5 + 4 + 143 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1648141 + ... + 1651259.

It is an arithmetic number, because the mean of its divisors is an integer number (63190400).

Almost surely, 2^5145414300 is an apocalyptic number.

5145414300 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 5145414300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099417600).

5145414300 is an abundant number, since it is smaller than the sum of its proper divisors (13053420900).

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

5145414300 is a wasteful number, since it uses less digits than its factorization.

5145414300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5145414300 is about 71731.5432707257. The cubic root of 5145414300 is about 1726.3947887315.

Adding to 5145414300 its reverse (34145415), we get a palindrome (5179559715).

The spelling of 5145414300 in words is "five billion, one hundred forty-five million, four hundred fourteen thousand, three hundred".