131417200 has 30 divisors (see below), whose sum is σ = 315730784. Its totient is φ = 52566720.

The previous prime is 131417197. The next prime is 131417203. The reversal of 131417200 is 2714131.

131417200 = 2011² + 2012² + ... + 2042².

It is an interprime number because it is at equal distance from previous prime (131417197) and next prime (131417203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131417203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 163872 + ... + 164671.

Almost surely, 2^131417200 is an apocalyptic number.

131417200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131417200 is an abundant number, since it is smaller than the sum of its proper divisors (184313584).

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

131417200 is a wasteful number, since it uses less digits than its factorization.

131417200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328561 (or 328550 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 131417200 is about 11463.7341211317. The cubic root of 131417200 is about 508.4138855297.

The spelling of 131417200 in words is "one hundred thirty-one million, four hundred seventeen thousand, two hundred".