14536132128 has 576 divisors, whose sum is σ = 52129163520. Its totient is φ = 3856896000.

The previous prime is 14536132123. The next prime is 14536132147. The reversal of 14536132128 is 82123163541.

14536132128 is a `hidden beast` number, since 14 + 5 + 3 + 613 + 2 + 1 + 28 = 666.

It is a super-2 number, since 2×14536132128² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14536132092 and 14536132101.

It is not an unprimeable number, because it can be changed into a prime (14536132123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238297218 + ... + 238297278.

It is an arithmetic number, because the mean of its divisors is an integer number (90502020).

Almost surely, 2^14536132128 is an apocalyptic number.

14536132128 is a gapful number since it is divisible by the number (18) 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 14536132128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26064581760).

14536132128 is an abundant number, since it is smaller than the sum of its proper divisors (37593031392).

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

14536132128 is a wasteful number, since it uses less digits than its factorization.

14536132128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 145 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 14536132128 its reverse (82123163541), we get a palindrome (96659295669).

The spelling of 14536132128 in words is "fourteen billion, five hundred thirty-six million, one hundred thirty-two thousand, one hundred twenty-eight".