131453928 has 80 divisors (see below), whose sum is σ = 389883780. Its totient is φ = 41236992.

The previous prime is 131453923. The next prime is 131453969. The reversal of 131453928 is 829354131.

It can be written as a sum of positive squares in 2 ways, for example, as 117029124 + 14424804 = 10818^2 + 3798^2 .

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 = 131453892 and 131453901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131453921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5050 + ... + 16982.

Almost surely, 2^131453928 is an apocalyptic number.

131453928 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 131453928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194941890).

131453928 is an abundant number, since it is smaller than the sum of its proper divisors (258429852).

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

131453928 is a wasteful number, since it uses less digits than its factorization.

131453928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11968 (or 11955 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 131453928 is about 11465.3359305343. The cubic root of 131453928 is about 508.4612443379.

The spelling of 131453928 in words is "one hundred thirty-one million, four hundred fifty-three thousand, nine hundred twenty-eight".