131256180 has 192 divisors, whose sum is σ = 469324800. Its totient is φ = 30119040.

The previous prime is 131256163. The next prime is 131256187. The reversal of 131256180 is 81652131.

131256180 is a `hidden beast` number, since 13 + 12 + 561 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131256187) 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 63 ways as a sum of consecutive naturals, for example, 112279 + ... + 113441.

It is an arithmetic number, because the mean of its divisors is an integer number (2444400).

Almost surely, 2^131256180 is an apocalyptic number.

131256180 is a gapful number since it is divisible by the number (10) 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 131256180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234662400).

131256180 is an abundant number, since it is smaller than the sum of its proper divisors (338068620).

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

131256180 is a wasteful number, since it uses less digits than its factorization.

131256180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 131256180 is about 11456.7089515270. The cubic root of 131256180 is about 508.2061545736.

The spelling of 131256180 in words is "one hundred thirty-one million, two hundred fifty-six thousand, one hundred eighty".