131421200 has 60 divisors (see below), whose sum is σ = 318963588. Its totient is φ = 52032000.

The previous prime is 131421197. The next prime is 131421217. The reversal of 131421200 is 2124131.

It can be written as a sum of positive squares in 6 ways, for example, as 31181056 + 100240144 = 5584^2 + 10012^2 .

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, 38774 + ... + 42026.

Almost surely, 2^131421200 is an apocalyptic number.

131421200 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 131421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159481794).

131421200 is an abundant number, since it is smaller than the sum of its proper divisors (187542388).

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

131421200 is a wasteful number, since it uses less digits than its factorization.

131421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3361 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 131421200 is about 11463.9085830270. The cubic root of 131421200 is about 508.4190437457.

Adding to 131421200 its reverse (2124131), we get a palindrome (133545331).

The spelling of 131421200 in words is "one hundred thirty-one million, four hundred twenty-one thousand, two hundred".