131810400 has 108 divisors (see below), whose sum is σ = 464821812. Its totient is φ = 35147520.

The previous prime is 131810389. The next prime is 131810407. The reversal of 131810400 is 4018131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131810407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1954 + ... + 16353.

Almost surely, 2^131810400 is an apocalyptic number.

131810400 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 131810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232410906).

131810400 is an abundant number, since it is smaller than the sum of its proper divisors (333011412).

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

131810400 is a wasteful number, since it uses less digits than its factorization.

131810400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18333 (or 18317 counting only the distinct ones).

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

The square root of 131810400 is about 11480.8710470939. The cubic root of 131810400 is about 508.9204384401.

Adding to 131810400 its reverse (4018131), we get a palindrome (135828531).

The spelling of 131810400 in words is "one hundred thirty-one million, eight hundred ten thousand, four hundred".