131412000 has 192 divisors, whose sum is σ = 441552384. Its totient is φ = 34150400.

The previous prime is 131411981. The next prime is 131412019. The reversal of 131412000 is 214131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131411981) and next prime (131412019).

It is a super-2 number, since 2×131412000² = 34538227488000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 563884 + ... + 564116.

It is an arithmetic number, because the mean of its divisors is an integer number (2299752).

Almost surely, 2^131412000 is an apocalyptic number.

131412000 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 131412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220776192).

131412000 is an abundant number, since it is smaller than the sum of its proper divisors (310140384).

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

131412000 is a wasteful number, since it uses less digits than its factorization.

131412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 131412000 is about 11463.5073166985. The cubic root of 131412000 is about 508.4071796924.

Adding to 131412000 its reverse (214131), we get a palindrome (131626131).

The spelling of 131412000 in words is "one hundred thirty-one million, four hundred twelve thousand".