131294800 has 120 divisors (see below), whose sum is σ = 388336256. Its totient is φ = 41541120.

The previous prime is 131294783. The next prime is 131294809. The reversal of 131294800 is 8492131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131294809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34597 + ... + 38203.

Almost surely, 2^131294800 is an apocalyptic number.

131294800 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 131294800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194168128).

131294800 is an abundant number, since it is smaller than the sum of its proper divisors (257041456).

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

131294800 is a wasteful number, since it uses less digits than its factorization.

131294800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3645 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 131294800 is about 11458.3943028681. The cubic root of 131294800 is about 508.2559934893.

The spelling of 131294800 in words is "one hundred thirty-one million, two hundred ninety-four thousand, eight hundred".