131214000 has 160 divisors (see below), whose sum is σ = 445685760. Its totient is φ = 33120000.

The previous prime is 131213977. The next prime is 131214029. The reversal of 131214000 is 412131.

It is a happy number.

It is a super-2 number, since 2×131214000² = 34434227592000000, 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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113425 + ... + 114575.

It is an arithmetic number, because the mean of its divisors is an integer number (2785536).

Almost surely, 2^131214000 is an apocalyptic number.

131214000 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 131214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222842880).

131214000 is an abundant number, since it is smaller than the sum of its proper divisors (314471760).

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

131214000 is a wasteful number, since it uses less digits than its factorization.

131214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1180 counting only the distinct ones).

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

The square root of 131214000 is about 11454.8679608278. The cubic root of 131214000 is about 508.1517103252.

Adding to 131214000 its reverse (412131), we get a palindrome (131626131).

The spelling of 131214000 in words is "one hundred thirty-one million, two hundred fourteen thousand".