131344400 has 60 divisors (see below), whose sum is σ = 344253264. Its totient is φ = 47760000.

The previous prime is 131344379. The next prime is 131344417. The reversal of 131344400 is 4443131.

It is a happy number.

131344400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131344400² = 34502702822720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10526 + ... + 19325.

Almost surely, 2^131344400 is an apocalyptic number.

131344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131344400 is an abundant number, since it is smaller than the sum of its proper divisors (212908864).

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

131344400 is a wasteful number, since it uses less digits than its factorization.

131344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29880 (or 29869 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 131344400 is about 11460.5584506166. The cubic root of 131344400 is about 508.3199877054.

Adding to 131344400 its reverse (4443131), we get a palindrome (135787531).

The spelling of 131344400 in words is "one hundred thirty-one million, three hundred forty-four thousand, four hundred".