5134914000 has 400 divisors, whose sum is σ = 19204819920. Its totient is φ = 1320883200.

The previous prime is 5134913947. The next prime is 5134914011. The reversal of 5134914000 is 4194315.

5134914000 is a `hidden beast` number, since 513 + 4 + 9 + 140 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 342398016 + 4792515984 = 18504^2 + 69228^2 .

It is a tau number, because it is divible by the number of its divisors (400).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4697454 + ... + 4698546.

Almost surely, 2^5134914000 is an apocalyptic number.

5134914000 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 5134914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9602409960).

5134914000 is an abundant number, since it is smaller than the sum of its proper divisors (14069905920).

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

5134914000 is a wasteful number, since it uses less digits than its factorization.

5134914000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5134914000 is about 71658.3142419636. The cubic root of 5134914000 is about 1725.2196317700.

The spelling of 5134914000 in words is "five billion, one hundred thirty-four million, nine hundred fourteen thousand".