131810976 has 288 divisors, whose sum is σ = 449100288. Its totient is φ = 37635840.

The previous prime is 131810971. The next prime is 131810989. The reversal of 131810976 is 679018131.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 131810976.

It is not an unprimeable number, because it can be changed into a prime (131810971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1967295 + ... + 1967361.

It is an arithmetic number, because the mean of its divisors is an integer number (1559376).

Almost surely, 2^131810976 is an apocalyptic number.

131810976 is a gapful number since it is divisible by the number (16) 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 131810976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224550144).

131810976 is an abundant number, since it is smaller than the sum of its proper divisors (317289312).

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

131810976 is a wasteful number, since it uses less digits than its factorization.

131810976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 131810976 is about 11480.8961322712. The cubic root of 131810976 is about 508.9211797518.

The spelling of 131810976 in words is "one hundred thirty-one million, eight hundred ten thousand, nine hundred seventy-six".