131514400 has 72 divisors (see below), whose sum is σ = 331478784. Its totient is φ = 50899200.

The previous prime is 131514389. The next prime is 131514407. The reversal of 131514400 is 4415131.

It is not an unprimeable number, because it can be changed into a prime (131514407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22149 + ... + 27451.

It is an arithmetic number, because the mean of its divisors is an integer number (4603872).

Almost surely, 2^131514400 is an apocalyptic number.

131514400 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 131514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165739392).

131514400 is an abundant number, since it is smaller than the sum of its proper divisors (199964384).

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

131514400 is a wasteful number, since it uses less digits than its factorization.

131514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 131514400 is about 11467.9727938289. The cubic root of 131514400 is about 508.5392005596.

Adding to 131514400 its reverse (4415131), we get a palindrome (135929531).

The spelling of 131514400 in words is "one hundred thirty-one million, five hundred fourteen thousand, four hundred".