131216400 has 360 divisors, whose sum is σ = 537298944. Its totient is φ = 29030400.

The previous prime is 131216399. The next prime is 131216419. The reversal of 131216400 is 4612131.

It is a happy number.

131216400 is a `hidden beast` number, since 1 + 3 + 1 + 21 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 71 ways as a sum of consecutive naturals, for example, 1033137 + ... + 1033263.

Almost surely, 2^131216400 is an apocalyptic number.

131216400 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 131216400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268649472).

131216400 is an abundant number, since it is smaller than the sum of its proper divisors (406082544).

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

131216400 is a wasteful number, since it uses less digits than its factorization.

131216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131216400 is about 11454.9727193040. The cubic root of 131216400 is about 508.1548084618.

Adding to 131216400 its reverse (4612131), we get a palindrome (135828531).

The spelling of 131216400 in words is "one hundred thirty-one million, two hundred sixteen thousand, four hundred".