131677410 has 128 divisors (see below), whose sum is σ = 358318080. Its totient is φ = 30772224.

The previous prime is 131677397. The next prime is 131677417. The reversal of 131677410 is 14776131.

131677410 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 1036767 + ... + 1036893.

It is an arithmetic number, because the mean of its divisors is an integer number (2799360).

Almost surely, 2^131677410 is an apocalyptic number.

131677410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131677410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179159040).

131677410 is an abundant number, since it is smaller than the sum of its proper divisors (226640670).

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

131677410 is a wasteful number, since it uses less digits than its factorization.

131677410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280.

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 131677410 is about 11475.0777775142. The cubic root of 131677410 is about 508.7492225517.

The spelling of 131677410 in words is "one hundred thirty-one million, six hundred seventy-seven thousand, four hundred ten".