131251120 has 240 divisors, whose sum is σ = 415598400. Its totient is φ = 37509120.

The previous prime is 131251103. The next prime is 131251147. The reversal of 131251120 is 21152131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 131251094 and 131251103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880806 + ... + 880954.

It is an arithmetic number, because the mean of its divisors is an integer number (1731660).

Almost surely, 2^131251120 is an apocalyptic number.

131251120 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 131251120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207799200).

131251120 is an abundant number, since it is smaller than the sum of its proper divisors (284347280).

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

131251120 is a wasteful number, since it uses less digits than its factorization.

131251120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 131251120 is about 11456.4881180927. The cubic root of 131251120 is about 508.1996239448.

The spelling of 131251120 in words is "one hundred thirty-one million, two hundred fifty-one thousand, one hundred twenty".