5145140000 has 480 divisors, whose sum is σ = 17061238656. Its totient is φ = 1474560000.

The previous prime is 5145139957. The next prime is 5145140003. The reversal of 5145140000 is 415415.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5145140003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20019872 + ... + 20020128.

Almost surely, 2^5145140000 is an apocalyptic number.

5145140000 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 5145140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530619328).

5145140000 is an abundant number, since it is smaller than the sum of its proper divisors (11916098656).

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

5145140000 is a wasteful number, since it uses less digits than its factorization.

5145140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 5145140000 is about 71729.6312551515. The cubic root of 5145140000 is about 1726.3641103787.

Adding to 5145140000 its reverse (415415), we get a palindrome (5145555415).

It can be divided in two parts, 514 and 5140000, that multiplied together give a square (2641960000 = 51400²).

The spelling of 5145140000 in words is "five billion, one hundred forty-five million, one hundred forty thousand".