131856656 has 80 divisors (see below), whose sum is σ = 281232000. Its totient is φ = 59673600.

The previous prime is 131856653. The next prime is 131856661. The reversal of 131856656 is 656658131.

131856656 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (41).

Its product of digits (129600) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131856653) 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, 884870 + ... + 885018.

It is an arithmetic number, because the mean of its divisors is an integer number (3515400).

Almost surely, 2^131856656 is an apocalyptic number.

131856656 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 131856656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616000).

131856656 is an abundant number, since it is smaller than the sum of its proper divisors (149375344).

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

131856656 is a wasteful number, since it uses less digits than its factorization.

131856656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its digits is 129600, while the sum is 41.

The square root of 131856656 is about 11482.8853516875. The cubic root of 131856656 is about 508.9799630064.

The spelling of 131856656 in words is "one hundred thirty-one million, eight hundred fifty-six thousand, six hundred fifty-six".