131336128 has 112 divisors (see below), whose sum is σ = 336499200. Its totient is φ = 49351680.

The previous prime is 131336123. The next prime is 131336159. The reversal of 131336128 is 821633131.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 131336096 and 131336105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131336123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142453 + ... + 143371.

Almost surely, 2^131336128 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 131336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168249600).

131336128 is an abundant number, since it is smaller than the sum of its proper divisors (205163072).

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

131336128 is a wasteful number, since it uses less digits than its factorization.

131336128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 968 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 131336128 is about 11460.1975550162. The cubic root of 131336128 is about 508.3093162411.

Adding to 131336128 its reverse (821633131), we get a palindrome (952969259).

The spelling of 131336128 in words is "one hundred thirty-one million, three hundred thirty-six thousand, one hundred twenty-eight".