5145910200 has 288 divisors, whose sum is σ = 18408040560. Its totient is φ = 1283788800.

The previous prime is 5145910169. The next prime is 5145910213. The reversal of 5145910200 is 20195415.

5145910200 is a `hidden beast` number, since 5 + 1 + 459 + 1 + 0 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6456202 + ... + 6456998.

Almost surely, 2^5145910200 is an apocalyptic number.

5145910200 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 5145910200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9204020280).

5145910200 is an abundant number, since it is smaller than the sum of its proper divisors (13262130360).

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

5145910200 is a wasteful number, since it uses less digits than its factorization.

5145910200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 5145910200 is about 71734.9998257475. Note that the first 3 decimals coincide. The cubic root of 5145910200 is about 1726.4502485788.

The spelling of 5145910200 in words is "five billion, one hundred forty-five million, nine hundred ten thousand, two hundred".