131412600 has 144 divisors (see below), whose sum is σ = 481520520. Its totient is φ = 31852800.

The previous prime is 131412587. The next prime is 131412613. The reversal of 131412600 is 6214131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131412587) and next prime (131412613).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16482 + ... + 23118.

Almost surely, 2^131412600 is an apocalyptic number.

131412600 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 131412600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240760260).

131412600 is an abundant number, since it is smaller than the sum of its proper divisors (350107920).

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

131412600 is a wasteful number, since it uses less digits than its factorization.

131412600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6670 (or 6658 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131412600 is about 11463.5334866698. The cubic root of 131412600 is about 508.4079534519.

Adding to 131412600 its reverse (6214131), we get a palindrome (137626731).

The spelling of 131412600 in words is "one hundred thirty-one million, four hundred twelve thousand, six hundred".