131415200 has 144 divisors (see below), whose sum is σ = 378975744. Its totient is φ = 43545600.

The previous prime is 131415199. The next prime is 131415233. The reversal of 131415200 is 2514131.

131415200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173222 + ... + 173978.

It is an arithmetic number, because the mean of its divisors is an integer number (2631776).

Almost surely, 2^131415200 is an apocalyptic number.

131415200 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 131415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189487872).

131415200 is an abundant number, since it is smaller than the sum of its proper divisors (247560544).

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

131415200 is a wasteful number, since it uses less digits than its factorization.

131415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 131415200 is about 11463.6468891884. The cubic root of 131415200 is about 508.4113063825.

Adding to 131415200 its reverse (2514131), we get a palindrome (133929331).

The spelling of 131415200 in words is "one hundred thirty-one million, four hundred fifteen thousand, two hundred".