131358800 has 30 divisors (see below), whose sum is σ = 315590478. Its totient is φ = 52543360.

The previous prime is 131358791. The next prime is 131358817. The reversal of 131358800 is 8853131.

It can be written as a sum of positive squares in 3 ways, for example, as 3125824 + 128232976 = 1768^2 + 11324^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 163799 + ... + 164598.

Almost surely, 2^131358800 is an apocalyptic number.

131358800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131358800 is an abundant number, since it is smaller than the sum of its proper divisors (184231678).

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

131358800 is a wasteful number, since it uses less digits than its factorization.

131358800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328415 (or 328404 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 131358800 is about 11461.1866750350. The cubic root of 131358800 is about 508.3385636537.

The spelling of 131358800 in words is "one hundred thirty-one million, three hundred fifty-eight thousand, eight hundred".