131214408 has 64 divisors (see below), whose sum is σ = 358599360. Its totient is φ = 39764736.

The previous prime is 131214403. The next prime is 131214409. The reversal of 131214408 is 804412131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131214403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17766 + ... + 24042.

It is an arithmetic number, because the mean of its divisors is an integer number (5603115).

Almost surely, 2^131214408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131214408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179299680).

131214408 is an abundant number, since it is smaller than the sum of its proper divisors (227384952).

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

131214408 is a wasteful number, since it uses less digits than its factorization.

131214408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6366 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 131214408 is about 11454.8857698364. The cubic root of 131214408 is about 508.1522370111.

Adding to 131214408 its reverse (804412131), we get a palindrome (935626539).

The spelling of 131214408 in words is "one hundred thirty-one million, two hundred fourteen thousand, four hundred eight".