51145000192 has 216 divisors, whose sum is σ = 122078946528. Its totient is φ = 21240975360.

The previous prime is 51145000169. The next prime is 51145000201. The reversal of 51145000192 is 29100054115.

It is a super-2 number, since 2×51145000192² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51145000192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43087023 + ... + 43088209.

It is an arithmetic number, because the mean of its divisors is an integer number (565180308).

Almost surely, 2^51145000192 is an apocalyptic number.

51145000192 is a gapful number since it is divisible by the number (52) 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 51145000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61039473264).

51145000192 is an abundant number, since it is smaller than the sum of its proper divisors (70933946336).

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

51145000192 is a wasteful number, since it uses less digits than its factorization.

51145000192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

The spelling of 51145000192 in words is "fifty-one billion, one hundred forty-five million, one hundred ninety-two", and thus it is an aban number.