131756128 has 48 divisors (see below), whose sum is σ = 303367680. Its totient is φ = 55149696.

The previous prime is 131756101. The next prime is 131756143. The reversal of 131756128 is 821657131.

It is a happy number.

131756128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131756093 and 131756102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2793 + ... + 16471.

It is an arithmetic number, because the mean of its divisors is an integer number (6320160).

Almost surely, 2^131756128 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 131756128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151683840).

131756128 is an abundant number, since it is smaller than the sum of its proper divisors (171611552).

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

131756128 is a wasteful number, since it uses less digits than its factorization.

131756128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13739 (or 13731 counting only the distinct ones).

The product of its digits is 10080, while the sum is 34.

The square root of 131756128 is about 11478.5072200178. The cubic root of 131756128 is about 508.8505807210.

The spelling of 131756128 in words is "one hundred thirty-one million, seven hundred fifty-six thousand, one hundred twenty-eight".