5145763140 has 336 divisors, whose sum is σ = 18709082112. Its totient is φ = 1163973888.

The previous prime is 5145763121. The next prime is 5145763169. The reversal of 5145763140 is 413675415.

5145763140 is a `hidden beast` number, since 5 + 1 + 457 + 63 + 140 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5145763095 and 5145763104.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12961422 + ... + 12961818.

It is an arithmetic number, because the mean of its divisors is an integer number (55681792).

Almost surely, 2^5145763140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5145763140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9354541056).

5145763140 is an abundant number, since it is smaller than the sum of its proper divisors (13563318972).

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

5145763140 is a wasteful number, since it uses less digits than its factorization.

5145763140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5145763140 is about 71733.9747957688. The cubic root of 5145763140 is about 1726.4338022371.

The spelling of 5145763140 in words is "five billion, one hundred forty-five million, seven hundred sixty-three thousand, one hundred forty".