131633856 has 112 divisors (see below), whose sum is σ = 409834080. Its totient is φ = 41287680.

The previous prime is 131633851. The next prime is 131633857. The reversal of 131633856 is 658336131.

It is a happy number.

131633856 is a `hidden beast` number, since 1 + 316 + 338 + 5 + 6 = 666.

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 131633856.

It is not an unprimeable number, because it can be changed into a prime (131633851) 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, 27136 + ... + 31616.

Almost surely, 2^131633856 is an apocalyptic number.

131633856 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 131633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204917040).

131633856 is an abundant number, since it is smaller than the sum of its proper divisors (278200224).

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

131633856 is a wasteful number, since it uses less digits than its factorization.

131633856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4519 (or 4503 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 131633856 is about 11473.1798556459. The cubic root of 131633856 is about 508.6931245794.

Adding to 131633856 its reverse (658336131), we get a palindrome (789969987).

The spelling of 131633856 in words is "one hundred thirty-one million, six hundred thirty-three thousand, eight hundred fifty-six".