131514414 has 64 divisors (see below), whose sum is σ = 295695360. Its totient is φ = 38776320.

The previous prime is 131514407. The next prime is 131514421. The reversal of 131514414 is 414415131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131514407) and next prime (131514421).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142647 + ... + 143565.

It is an arithmetic number, because the mean of its divisors is an integer number (4620240).

Almost surely, 2^131514414 is an apocalyptic number.

131514414 is an abundant number, since it is smaller than the sum of its proper divisors (164180946).

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

131514414 is a wasteful number, since it uses less digits than its factorization.

131514414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025.

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

The square root of 131514414 is about 11467.9734042245. The cubic root of 131514414 is about 508.5392186047.

Adding to 131514414 its reverse (414415131), we get a palindrome (545929545).

The spelling of 131514414 in words is "one hundred thirty-one million, five hundred fourteen thousand, four hundred fourteen".