131676840 has 384 divisors, whose sum is σ = 503193600. Its totient is φ = 30792960.

The previous prime is 131676827. The next prime is 131676847. The reversal of 131676840 is 48676131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131676795 and 131676804.

It is not an unprimeable number, because it can be changed into a prime (131676847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4247625 + ... + 4247655.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^131676840 is an apocalyptic number.

131676840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131676840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251596800).

131676840 is an abundant number, since it is smaller than the sum of its proper divisors (371516760).

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

131676840 is a wasteful number, since it uses less digits than its factorization.

131676840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 131676840 is about 11475.0529410543. The cubic root of 131676840 is about 508.7484884661.

The spelling of 131676840 in words is "one hundred thirty-one million, six hundred seventy-six thousand, eight hundred forty".