5157145800 has 192 divisors, whose sum is σ = 17895729600. Its totient is φ = 1365004800.

The previous prime is 5157145793. The next prime is 5157145811. The reversal of 5157145800 is 85417515.

5157145800 is a `hidden beast` number, since 5 + 1 + 5 + 71 + 4 + 580 + 0 = 666.

It is a super-5 number, since 5×5157145800⁵ (a number of 50 digits) contains 55555 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736315 + ... + 743285.

It is an arithmetic number, because the mean of its divisors is an integer number (93206925).

Almost surely, 2^5157145800 is an apocalyptic number.

5157145800 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 5157145800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8947864800).

5157145800 is an abundant number, since it is smaller than the sum of its proper divisors (12738583800).

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

5157145800 is a wasteful number, since it uses less digits than its factorization.

5157145800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7133 (or 7118 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The square root of 5157145800 is about 71813.2703614033. The cubic root of 5157145800 is about 1727.7058478855.

The spelling of 5157145800 in words is "five billion, one hundred fifty-seven million, one hundred forty-five thousand, eight hundred".