131337414 has 48 divisors (see below), whose sum is σ = 309228192. Its totient is φ = 40045824.

The previous prime is 131337407. The next prime is 131337449. The reversal of 131337414 is 414733131.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 23959 + ... + 28925.

It is an arithmetic number, because the mean of its divisors is an integer number (6442254).

Almost surely, 2^131337414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131337414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154614096).

131337414 is an abundant number, since it is smaller than the sum of its proper divisors (177890778).

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

131337414 is a wasteful number, since it uses less digits than its factorization.

131337414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101 (or 5098 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 131337414 is about 11460.2536621141. The cubic root of 131337414 is about 508.3109753014.

The spelling of 131337414 in words is "one hundred thirty-one million, three hundred thirty-seven thousand, four hundred fourteen".