5132688144 has 80 divisors (see below), whose sum is σ = 14217304320. Its totient is φ = 1589852160.

The previous prime is 5132688107. The next prime is 5132688179. The reversal of 5132688144 is 4418862315.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5132688096 and 5132688105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24654 + ... + 104274.

It is an arithmetic number, because the mean of its divisors is an integer number (177716304).

Almost surely, 2^5132688144 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 5132688144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108652160).

5132688144 is an abundant number, since it is smaller than the sum of its proper divisors (9084616176).

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

5132688144 is a wasteful number, since it uses less digits than its factorization.

5132688144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79728 (or 79722 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 5132688144 is about 71642.7815205412. The cubic root of 5132688144 is about 1724.9703159773.

The spelling of 5132688144 in words is "five billion, one hundred thirty-two million, six hundred eighty-eight thousand, one hundred forty-four".