131257120 has 48 divisors (see below), whose sum is σ = 311895360. Its totient is φ = 52198144.

The previous prime is 131257117. The next prime is 131257121. The reversal of 131257120 is 21752131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131257091 and 131257100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131257121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26349 + ... + 30931.

It is an arithmetic number, because the mean of its divisors is an integer number (6497820).

Almost surely, 2^131257120 is an apocalyptic number.

131257120 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 131257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155947680).

131257120 is an abundant number, since it is smaller than the sum of its proper divisors (180638240).

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

131257120 is a wasteful number, since it uses less digits than its factorization.

131257120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 131257120 is about 11456.7499754512. The cubic root of 131257120 is about 508.2073677550.

The spelling of 131257120 in words is "one hundred thirty-one million, two hundred fifty-seven thousand, one hundred twenty".