16131342528 has 504 divisors, whose sum is σ = 56373857280. Its totient is φ = 4392299520.

The previous prime is 16131342503. The next prime is 16131342529. The reversal of 16131342528 is 82524313161.

16131342528 is a `hidden beast` number, since 1 + 61 + 31 + 3 + 42 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×16131342528² (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 zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 16131342492 and 16131342501.

It is not an unprimeable number, because it can be changed into a prime (16131342529) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90119143 + ... + 90119321.

Almost surely, 2^16131342528 is an apocalyptic number.

16131342528 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 16131342528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28186928640).

16131342528 is an abundant number, since it is smaller than the sum of its proper divisors (40242514752).

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

16131342528 is a wasteful number, since it uses less digits than its factorization.

16131342528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 325 counting only the distinct ones).

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

Adding to 16131342528 its reverse (82524313161), we get a palindrome (98655655689).

It can be divided in two parts, 161313 and 42528, that added together give a triangular number (203841 = T₆₃₈).

The spelling of 16131342528 in words is "sixteen billion, one hundred thirty-one million, three hundred forty-two thousand, five hundred twenty-eight".