131630400 has 336 divisors, whose sum is σ = 525353280. Its totient is φ = 31795200.

The previous prime is 131630399. The next prime is 131630431. The reversal of 131630400 is 4036131.

131630400 is a `hidden beast` number, since 1 + 31 + 630 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475062 + ... + 475338.

Almost surely, 2^131630400 is an apocalyptic number.

131630400 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 131630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262676640).

131630400 is an abundant number, since it is smaller than the sum of its proper divisors (393722880).

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

131630400 is a wasteful number, since it uses less digits than its factorization.

131630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131630400 is about 11473.0292425322. The cubic root of 131630400 is about 508.6886726882.

Adding to 131630400 its reverse (4036131), we get a palindrome (135666531).

The spelling of 131630400 in words is "one hundred thirty-one million, six hundred thirty thousand, four hundred".