131282400 has 144 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 33154560.

The previous prime is 131282363. The next prime is 131282423. The reversal of 131282400 is 4282131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44161 + ... + 47039.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^131282400 is an apocalyptic number.

131282400 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 131282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

131282400 is an abundant number, since it is smaller than the sum of its proper divisors (318688800).

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

131282400 is a wasteful number, since it uses less digits than its factorization.

131282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 131282400 is about 11457.8532020619. The cubic root of 131282400 is about 508.2399924170.

The spelling of 131282400 in words is "one hundred thirty-one million, two hundred eighty-two thousand, four hundred".