131614672 has 80 divisors (see below), whose sum is σ = 309821440. Its totient is φ = 52907904.

The previous prime is 131614669. The next prime is 131614687. The reversal of 131614672 is 276416131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270013 + ... + 270499.

It is an arithmetic number, because the mean of its divisors is an integer number (3872768).

Almost surely, 2^131614672 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 131614672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154910720).

131614672 is an abundant number, since it is smaller than the sum of its proper divisors (178206768).

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

131614672 is a wasteful number, since it uses less digits than its factorization.

131614672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 642 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 131614672 is about 11472.3437884331. The cubic root of 131614672 is about 508.6684114767.

The spelling of 131614672 in words is "one hundred thirty-one million, six hundred fourteen thousand, six hundred seventy-two".