5145690600 has 144 divisors (see below), whose sum is σ = 17331256800. Its totient is φ = 1368190080.

The previous prime is 5145690593. The next prime is 5145690607. The reversal of 5145690600 is 60965415.

5145690600 is a `hidden beast` number, since 5 + 1 + 45 + 6 + 9 + 0 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5145690593) and next prime (5145690607).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5145690607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 642219 + ... + 650181.

It is an arithmetic number, because the mean of its divisors is an integer number (120355950).

Almost surely, 2^5145690600 is an apocalyptic number.

5145690600 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 5145690600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8665628400).

5145690600 is an abundant number, since it is smaller than the sum of its proper divisors (12185566200).

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

5145690600 is a wasteful number, since it uses less digits than its factorization.

5145690600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8344 (or 8332 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5145690600 is about 71733.4691758317. The cubic root of 5145690600 is about 1726.4256896667.

The spelling of 5145690600 in words is "five billion, one hundred forty-five million, six hundred ninety thousand, six hundred".