131140800 has 252 divisors, whose sum is σ = 533101296. Its totient is φ = 29952000.

The previous prime is 131140787. The next prime is 131140811. The reversal of 131140800 is 8041131.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100150 + ... + 101450.

Almost surely, 2^131140800 is an apocalyptic number.

131140800 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 131140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266550648).

131140800 is an abundant number, since it is smaller than the sum of its proper divisors (401960496).

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

131140800 is a wasteful number, since it uses less digits than its factorization.

131140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 131140800 is about 11451.6723669515. The cubic root of 131140800 is about 508.0571990071.

Adding to 131140800 its reverse (8041131), we get a palindrome (139181931).

The spelling of 131140800 in words is "one hundred thirty-one million, one hundred forty thousand, eight hundred".