131368800 has 144 divisors (see below), whose sum is σ = 431972352. Its totient is φ = 34675200.

The previous prime is 131368771. The next prime is 131368817. The reversal of 131368800 is 8863131.

It is a super-2 number, since 2×131368800² = 34515523226880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 304585 + ... + 305015.

It is an arithmetic number, because the mean of its divisors is an integer number (2999808).

Almost surely, 2^131368800 is an apocalyptic number.

131368800 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 131368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215986176).

131368800 is an abundant number, since it is smaller than the sum of its proper divisors (300603552).

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

131368800 is a wasteful number, since it uses less digits than its factorization.

131368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 131368800 is about 11461.6229217332. The cubic root of 131368800 is about 508.3514628190.

The spelling of 131368800 in words is "one hundred thirty-one million, three hundred sixty-eight thousand, eight hundred".