131798400 has 96 divisors (see below), whose sum is σ = 434142600. Its totient is φ = 35143680.

The previous prime is 131798393. The next prime is 131798413. The reversal of 131798400 is 4897131.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 2736 + ... + 16464.

Almost surely, 2^131798400 is an apocalyptic number.

131798400 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 131798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217071300).

131798400 is an abundant number, since it is smaller than the sum of its proper divisors (302344200).

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

131798400 is a wasteful number, since it uses less digits than its factorization.

131798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13756 (or 13739 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 131798400 is about 11480.3484267682. The cubic root of 131798400 is about 508.9049939568.

The spelling of 131798400 in words is "one hundred thirty-one million, seven hundred ninety-eight thousand, four hundred".