131677164 has 60 divisors (see below), whose sum is σ = 346145184. Its totient is φ = 43648416.

The previous prime is 131677153. The next prime is 131677171. The reversal of 131677164 is 461776131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62797 + ... + 64859.

Almost surely, 2^131677164 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 131677164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173072592).

131677164 is an abundant number, since it is smaller than the sum of its proper divisors (214468020).

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

131677164 is a wasteful number, since it uses less digits than its factorization.

131677164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2265 counting only the distinct ones).

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

The square root of 131677164 is about 11475.0670586276. The cubic root of 131677164 is about 508.7489057361.

It can be divided in two parts, 131677 and 164, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 131677164 in words is "one hundred thirty-one million, six hundred seventy-seven thousand, one hundred sixty-four".