131797120 has 256 divisors, whose sum is σ = 405780480. Its totient is φ = 39813120.

The previous prime is 131797097. The next prime is 131797121. The reversal of 131797120 is 21797131.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (131797121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1805404 + ... + 1805476.

It is an arithmetic number, because the mean of its divisors is an integer number (1585080).

Almost surely, 2^131797120 is an apocalyptic number.

131797120 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 131797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202890240).

131797120 is an abundant number, since it is smaller than the sum of its proper divisors (273983360).

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

131797120 is a wasteful number, since it uses less digits than its factorization.

131797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 31.

The square root of 131797120 is about 11480.2926791959. The cubic root of 131797120 is about 508.9033464899.

The spelling of 131797120 in words is "one hundred thirty-one million, seven hundred ninety-seven thousand, one hundred twenty".