131426800 has 60 divisors (see below), whose sum is σ = 332390680. Its totient is φ = 49800960.

The previous prime is 131426783. The next prime is 131426821. The reversal of 131426800 is 8624131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1047 + ... + 16246.

Almost surely, 2^131426800 is an apocalyptic number.

131426800 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 131426800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166195340).

131426800 is an abundant number, since it is smaller than the sum of its proper divisors (200963880).

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

131426800 is a wasteful number, since it uses less digits than its factorization.

131426800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17330 (or 17319 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 131426800 is about 11464.1528252200. The cubic root of 131426800 is about 508.4262650723.

The spelling of 131426800 in words is "one hundred thirty-one million, four hundred twenty-six thousand, eight hundred".