51132104144 has 240 divisors, whose sum is σ = 121979008320. Its totient is φ = 20530298880.

The previous prime is 51132104141. The next prime is 51132104173. The reversal of 51132104144 is 44140123115.

It is a super-2 number, since 2×51132104144² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51132104141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151727144 + ... + 151727480.

It is an arithmetic number, because the mean of its divisors is an integer number (508245868).

Almost surely, 2^51132104144 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 51132104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60989504160).

51132104144 is an abundant number, since it is smaller than the sum of its proper divisors (70846904176).

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

51132104144 is a wasteful number, since it uses less digits than its factorization.

51132104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 51132104144 its reverse (44140123115), we get a palindrome (95272227259).

The spelling of 51132104144 in words is "fifty-one billion, one hundred thirty-two million, one hundred four thousand, one hundred forty-four".