131440400 has 240 divisors, whose sum is σ = 408140544. Its totient is φ = 39536640.

The previous prime is 131440381. The next prime is 131440409. The reversal of 131440400 is 4044131.

It is not an unprimeable number, because it can be changed into a prime (131440409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 837122 + ... + 837278.

Almost surely, 2^131440400 is an apocalyptic number.

131440400 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 131440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204070272).

131440400 is an abundant number, since it is smaller than the sum of its proper divisors (276700144).

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

131440400 is a wasteful number, since it uses less digits than its factorization.

131440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 131440400 is about 11464.7459631690. The cubic root of 131440400 is about 508.4438017257.

Adding to 131440400 its reverse (4044131), we get a palindrome (135484531).

It can be divided in two parts, 1314 and 40400, that added together give a palindrome (41714).

The spelling of 131440400 in words is "one hundred thirty-one million, four hundred forty thousand, four hundred".