131415414 has 96 divisors (see below), whose sum is σ = 304365600. Its totient is φ = 37739520.

The previous prime is 131415413. The next prime is 131415463. The reversal of 131415414 is 414514131.

It is a happy number.

It is a super-2 number, since 2×131415414² = 34540022073582792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131415413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205592 + ... + 1205700.

It is an arithmetic number, because the mean of its divisors is an integer number (3170475).

Almost surely, 2^131415414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131415414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152182800).

131415414 is an abundant number, since it is smaller than the sum of its proper divisors (172950186).

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

131415414 is a wasteful number, since it uses less digits than its factorization.

131415414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 131415414 is about 11463.6562230381. The cubic root of 131415414 is about 508.4115823525.

Adding to 131415414 its reverse (414514131), we get a palindrome (545929545).

The spelling of 131415414 in words is "one hundred thirty-one million, four hundred fifteen thousand, four hundred fourteen".