131464800 has 324 divisors, whose sum is σ = 504225540. Its totient is φ = 32140800.

The previous prime is 131464799. The next prime is 131464841. The reversal of 131464800 is 8464131.

131464800 is a `hidden beast` number, since 1 + 3 + 14 + 648 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4240785 + ... + 4240815.

Almost surely, 2^131464800 is an apocalyptic number.

131464800 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 131464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252112770).

131464800 is an abundant number, since it is smaller than the sum of its proper divisors (372760740).

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

131464800 is a wasteful number, since it uses less digits than its factorization.

131464800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 131464800 is about 11465.8100455223. The cubic root of 131464800 is about 508.4752615132.

The spelling of 131464800 in words is "one hundred thirty-one million, four hundred sixty-four thousand, eight hundred".