131684256 has 144 divisors (see below), whose sum is σ = 412540128. Its totient is φ = 39513600.

The previous prime is 131684243. The next prime is 131684257. The reversal of 131684256 is 652486131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 131684256.

It is not an unprimeable number, because it can be changed into a prime (131684257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623991 + ... + 624201.

It is an arithmetic number, because the mean of its divisors is an integer number (2864862).

Almost surely, 2^131684256 is an apocalyptic number.

131684256 is a gapful number since it is divisible by the number (16) 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 131684256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206270064).

131684256 is an abundant number, since it is smaller than the sum of its proper divisors (280855872).

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

131684256 is a wasteful number, since it uses less digits than its factorization.

131684256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

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

The square root of 131684256 is about 11475.3760722688. The cubic root of 131684256 is about 508.7580391407.

It can be divided in two parts, 13168 and 4256, that added together give a square (17424 = 132²).

The spelling of 131684256 in words is "one hundred thirty-one million, six hundred eighty-four thousand, two hundred fifty-six".