131677416 has 48 divisors (see below), whose sum is σ = 384061860. Its totient is φ = 40515840.

The previous prime is 131677397. The next prime is 131677417. The reversal of 131677416 is 614776131.

It can be written as a sum of positive squares in 2 ways, for example, as 99800100 + 31877316 = 9990^2 + 5646^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131677417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69405 + ... + 71276.

Almost surely, 2^131677416 is an apocalyptic number.

It is an amenable number.

131677416 is an abundant number, since it is smaller than the sum of its proper divisors (252384444).

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

131677416 is a wasteful number, since it uses less digits than its factorization.

131677416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140706 (or 140699 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 131677416 is about 11475.0780389503. The cubic root of 131677416 is about 508.7492302789.

The spelling of 131677416 in words is "one hundred thirty-one million, six hundred seventy-seven thousand, four hundred sixteen".